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Finding the Fourth Proportional to 8,609.68, 12,914.52 and 5,100.76

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Solution

The fourth proportional to 8,609.68, 12,914.52 and 5,100.76 is: 7,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.68 : 12,914.52 = 5,100.76 : x
  2. Step 2: Convert to fraction form
    8,609.68/12,914.52 = 5,100.76/x
  3. Step 3: Cross multiply
    8,609.68x = 12,914.52 × 5,100.76
  4. Step 4: Simplify right side
    8,609.68x = 65,873,867.04
  5. Step 5: Solve for x
    x = 65,873,867.04/8,609.68
  6. Step 6: Final answer
    x = 7,651.14

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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.