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Finding the Fourth Proportional to 10,220.48, 15,335.58 and 5,839.19

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Solution

The fourth proportional to 10,220.48, 15,335.58 and 5,839.19 is: 8,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.48 : 15,335.58 = 5,839.19 : x
  2. Step 2: Convert to fraction form
    10,220.48/15,335.58 = 5,839.19/x
  3. Step 3: Cross multiply
    10,220.48x = 15,335.58 × 5,839.19
  4. Step 4: Simplify right side
    10,220.48x = 89,547,288.70
  5. Step 5: Solve for x
    x = 89,547,288.70/10,220.48
  6. Step 6: Final answer
    x = 8,761.56

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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.