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Finding the Fourth Proportional to 8,408.55, 12,612.85 and 2,565.16

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Solution

The fourth proportional to 8,408.55, 12,612.85 and 2,565.16 is: 3,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.55 : 12,612.85 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    8,408.55/12,612.85 = 2,565.16/x
  3. Step 3: Cross multiply
    8,408.55x = 12,612.85 × 2,565.16
  4. Step 4: Simplify right side
    8,408.55x = 32,353,978.31
  5. Step 5: Solve for x
    x = 32,353,978.31/8,408.55
  6. Step 6: Final answer
    x = 3,847.75

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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.