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Finding the Fourth Proportional to 7,342.77, 10,133.20 and 3,985.72

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Solution

The fourth proportional to 7,342.77, 10,133.20 and 3,985.72 is: 5,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.77 : 10,133.20 = 3,985.72 : x
  2. Step 2: Convert to fraction form
    7,342.77/10,133.20 = 3,985.72/x
  3. Step 3: Cross multiply
    7,342.77x = 10,133.20 × 3,985.72
  4. Step 4: Simplify right side
    7,342.77x = 40,388,097.90
  5. Step 5: Solve for x
    x = 40,388,097.90/7,342.77
  6. Step 6: Final answer
    x = 5,500.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.