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Finding the Fourth Proportional to 10,002.52, 13,803.96 and 6,024.88

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Solution

The fourth proportional to 10,002.52, 13,803.96 and 6,024.88 is: 8,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.52 : 13,803.96 = 6,024.88 : x
  2. Step 2: Convert to fraction form
    10,002.52/13,803.96 = 6,024.88/x
  3. Step 3: Cross multiply
    10,002.52x = 13,803.96 × 6,024.88
  4. Step 4: Simplify right side
    10,002.52x = 83,167,202.52
  5. Step 5: Solve for x
    x = 83,167,202.52/10,002.52
  6. Step 6: Final answer
    x = 8,314.62

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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.