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Finding the Fourth Proportional to 8,516.25, 12,765.29 and 4,124.07

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Solution

The fourth proportional to 8,516.25, 12,765.29 and 4,124.07 is: 6,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.25 : 12,765.29 = 4,124.07 : x
  2. Step 2: Convert to fraction form
    8,516.25/12,765.29 = 4,124.07/x
  3. Step 3: Cross multiply
    8,516.25x = 12,765.29 × 4,124.07
  4. Step 4: Simplify right side
    8,516.25x = 52,644,928.91
  5. Step 5: Solve for x
    x = 52,644,928.91/8,516.25
  6. Step 6: Final answer
    x = 6,181.70

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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.