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Finding the Fourth Proportional to 7,616,241.76, 11,406,866.60 and 6,402,719.20

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Solution

The fourth proportional to 7,616,241.76, 11,406,866.60 and 6,402,719.20 is: 9,589,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616,241.76 : 11,406,866.60 = 6,402,719.20 : x
  2. Step 2: Convert to fraction form
    7,616,241.76/11,406,866.60 = 6,402,719.20/x
  3. Step 3: Cross multiply
    7,616,241.76x = 11,406,866.60 × 6,402,719.20
  4. Step 4: Simplify right side
    7,616,241.76x = 73,034,963,791,658.72
  5. Step 5: Solve for x
    x = 73,034,963,791,658.72/7,616,241.76
  6. Step 6: Final answer
    x = 9,589,370.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.