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Finding the Fourth Proportional to 10,244.64, 15,357.16 and 4,002.58

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Solution

The fourth proportional to 10,244.64, 15,357.16 and 4,002.58 is: 6,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.64 : 15,357.16 = 4,002.58 : x
  2. Step 2: Convert to fraction form
    10,244.64/15,357.16 = 4,002.58/x
  3. Step 3: Cross multiply
    10,244.64x = 15,357.16 × 4,002.58
  4. Step 4: Simplify right side
    10,244.64x = 61,468,285.67
  5. Step 5: Solve for x
    x = 61,468,285.67/10,244.64
  6. Step 6: Final answer
    x = 6,000.04

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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.