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Finding the Fourth Proportional to 11,287.68, 15,576.32 and 6,251.60

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Solution

The fourth proportional to 11,287.68, 15,576.32 and 6,251.60 is: 8,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.68 : 15,576.32 = 6,251.60 : x
  2. Step 2: Convert to fraction form
    11,287.68/15,576.32 = 6,251.60/x
  3. Step 3: Cross multiply
    11,287.68x = 15,576.32 × 6,251.60
  4. Step 4: Simplify right side
    11,287.68x = 97,376,953.24
  5. Step 5: Solve for x
    x = 97,376,953.24/11,287.68
  6. Step 6: Final answer
    x = 8,626.83

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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.