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Finding the Fourth Proportional to 10,016.62, 15,024.86 and 4,092.24

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Solution

The fourth proportional to 10,016.62, 15,024.86 and 4,092.24 is: 6,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.62 : 15,024.86 = 4,092.24 : x
  2. Step 2: Convert to fraction form
    10,016.62/15,024.86 = 4,092.24/x
  3. Step 3: Cross multiply
    10,016.62x = 15,024.86 × 4,092.24
  4. Step 4: Simplify right side
    10,016.62x = 61,485,312.63
  5. Step 5: Solve for x
    x = 61,485,312.63/10,016.62
  6. Step 6: Final answer
    x = 6,138.33

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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.