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Finding the Fourth Proportional to 10,282.72, 15,458.24 and 8,447.44

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Solution

The fourth proportional to 10,282.72, 15,458.24 and 8,447.44 is: 12,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.72 : 15,458.24 = 8,447.44 : x
  2. Step 2: Convert to fraction form
    10,282.72/15,458.24 = 8,447.44/x
  3. Step 3: Cross multiply
    10,282.72x = 15,458.24 × 8,447.44
  4. Step 4: Simplify right side
    10,282.72x = 130,582,554.91
  5. Step 5: Solve for x
    x = 130,582,554.91/10,282.72
  6. Step 6: Final answer
    x = 12,699.22

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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.