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Finding the Fourth Proportional to 8,607.76, 12,911.68 and 2,451.76

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Solution

The fourth proportional to 8,607.76, 12,911.68 and 2,451.76 is: 3,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607.76 : 12,911.68 = 2,451.76 : x
  2. Step 2: Convert to fraction form
    8,607.76/12,911.68 = 2,451.76/x
  3. Step 3: Cross multiply
    8,607.76x = 12,911.68 × 2,451.76
  4. Step 4: Simplify right side
    8,607.76x = 31,656,340.56
  5. Step 5: Solve for x
    x = 31,656,340.56/8,607.76
  6. Step 6: Final answer
    x = 3,677.65

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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.