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Finding the Fourth Proportional to 10,024.41, 13,833.31 and 5,487.20

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Solution

The fourth proportional to 10,024.41, 13,833.31 and 5,487.20 is: 7,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.41 : 13,833.31 = 5,487.20 : x
  2. Step 2: Convert to fraction form
    10,024.41/13,833.31 = 5,487.20/x
  3. Step 3: Cross multiply
    10,024.41x = 13,833.31 × 5,487.20
  4. Step 4: Simplify right side
    10,024.41x = 75,906,138.63
  5. Step 5: Solve for x
    x = 75,906,138.63/10,024.41
  6. Step 6: Final answer
    x = 7,572.13

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