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Finding the Fourth Proportional to 10,024.16, 15,031.17 and 5,865.41

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Solution

The fourth proportional to 10,024.16, 15,031.17 and 5,865.41 is: 8,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.16 : 15,031.17 = 5,865.41 : x
  2. Step 2: Convert to fraction form
    10,024.16/15,031.17 = 5,865.41/x
  3. Step 3: Cross multiply
    10,024.16x = 15,031.17 × 5,865.41
  4. Step 4: Simplify right side
    10,024.16x = 88,164,012.41
  5. Step 5: Solve for x
    x = 88,164,012.41/10,024.16
  6. Step 6: Final answer
    x = 8,795.16

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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.