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Finding the Fourth Proportional to 8,410.53, 12,614.58 and 2,864.10

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Solution

The fourth proportional to 8,410.53, 12,614.58 and 2,864.10 is: 4,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.53 : 12,614.58 = 2,864.10 : x
  2. Step 2: Convert to fraction form
    8,410.53/12,614.58 = 2,864.10/x
  3. Step 3: Cross multiply
    8,410.53x = 12,614.58 × 2,864.10
  4. Step 4: Simplify right side
    8,410.53x = 36,129,418.58
  5. Step 5: Solve for x
    x = 36,129,418.58/8,410.53
  6. Step 6: Final answer
    x = 4,295.74

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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.