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Finding the Fourth Proportional to 8,454.72, 12,665.64 and 5,524.14

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Solution

The fourth proportional to 8,454.72, 12,665.64 and 5,524.14 is: 8,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.72 : 12,665.64 = 5,524.14 : x
  2. Step 2: Convert to fraction form
    8,454.72/12,665.64 = 5,524.14/x
  3. Step 3: Cross multiply
    8,454.72x = 12,665.64 × 5,524.14
  4. Step 4: Simplify right side
    8,454.72x = 69,966,768.55
  5. Step 5: Solve for x
    x = 69,966,768.55/8,454.72
  6. Step 6: Final answer
    x = 8,275.47

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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.