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Finding the Fourth Proportional to 11,037.60, 15,232.16 and 6,002.16

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Solution

The fourth proportional to 11,037.60, 15,232.16 and 6,002.16 is: 8,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.60 : 15,232.16 = 6,002.16 : x
  2. Step 2: Convert to fraction form
    11,037.60/15,232.16 = 6,002.16/x
  3. Step 3: Cross multiply
    11,037.60x = 15,232.16 × 6,002.16
  4. Step 4: Simplify right side
    11,037.60x = 91,425,861.47
  5. Step 5: Solve for x
    x = 91,425,861.47/11,037.60
  6. Step 6: Final answer
    x = 8,283.13

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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.