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Finding the Fourth Proportional to 8,281.60, 12,428.49 and 5,166.16

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Solution

The fourth proportional to 8,281.60, 12,428.49 and 5,166.16 is: 7,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.60 : 12,428.49 = 5,166.16 : x
  2. Step 2: Convert to fraction form
    8,281.60/12,428.49 = 5,166.16/x
  3. Step 3: Cross multiply
    8,281.60x = 12,428.49 × 5,166.16
  4. Step 4: Simplify right side
    8,281.60x = 64,207,567.90
  5. Step 5: Solve for x
    x = 64,207,567.90/8,281.60
  6. Step 6: Final answer
    x = 7,753.04

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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.