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Finding the Fourth Proportional to 10,027.62, 15,024.96 and 4,472.64

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Solution

The fourth proportional to 10,027.62, 15,024.96 and 4,472.64 is: 6,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.62 : 15,024.96 = 4,472.64 : x
  2. Step 2: Convert to fraction form
    10,027.62/15,024.96 = 4,472.64/x
  3. Step 3: Cross multiply
    10,027.62x = 15,024.96 × 4,472.64
  4. Step 4: Simplify right side
    10,027.62x = 67,201,237.09
  5. Step 5: Solve for x
    x = 67,201,237.09/10,027.62
  6. Step 6: Final answer
    x = 6,701.61

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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.