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Finding the Fourth Proportional to 10,496.52, 15,744.42 and 3,920.76

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Solution

The fourth proportional to 10,496.52, 15,744.42 and 3,920.76 is: 5,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.52 : 15,744.42 = 3,920.76 : x
  2. Step 2: Convert to fraction form
    10,496.52/15,744.42 = 3,920.76/x
  3. Step 3: Cross multiply
    10,496.52x = 15,744.42 × 3,920.76
  4. Step 4: Simplify right side
    10,496.52x = 61,730,092.16
  5. Step 5: Solve for x
    x = 61,730,092.16/10,496.52
  6. Step 6: Final answer
    x = 5,881.01

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