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Finding the Fourth Proportional to 8,408.02, 12,614.46 and 2,565.58

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Solution

The fourth proportional to 8,408.02, 12,614.46 and 2,565.58 is: 3,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.02 : 12,614.46 = 2,565.58 : x
  2. Step 2: Convert to fraction form
    8,408.02/12,614.46 = 2,565.58/x
  3. Step 3: Cross multiply
    8,408.02x = 12,614.46 × 2,565.58
  4. Step 4: Simplify right side
    8,408.02x = 32,363,406.29
  5. Step 5: Solve for x
    x = 32,363,406.29/8,408.02
  6. Step 6: Final answer
    x = 3,849.11

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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.