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Finding the Fourth Proportional to 7,724,891, 11,584,537.14 and 3,462,865.40

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Solution

The fourth proportional to 7,724,891, 11,584,537.14 and 3,462,865.40 is: 5,193,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,891 : 11,584,537.14 = 3,462,865.40 : x
  2. Step 2: Convert to fraction form
    7,724,891/11,584,537.14 = 3,462,865.40/x
  3. Step 3: Cross multiply
    7,724,891x = 11,584,537.14 × 3,462,865.40
  4. Step 4: Simplify right side
    7,724,891x = 40,115,692,837,120.95
  5. Step 5: Solve for x
    x = 40,115,692,837,120.95/7,724,891
  6. Step 6: Final answer
    x = 5,193,043.22

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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.