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Finding the Fourth Proportional to 8,410.45, 12,617.05 and 2,565.69

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Solution

The fourth proportional to 8,410.45, 12,617.05 and 2,565.69 is: 3,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.45 : 12,617.05 = 2,565.69 : x
  2. Step 2: Convert to fraction form
    8,410.45/12,617.05 = 2,565.69/x
  3. Step 3: Cross multiply
    8,410.45x = 12,617.05 × 2,565.69
  4. Step 4: Simplify right side
    8,410.45x = 32,371,439.01
  5. Step 5: Solve for x
    x = 32,371,439.01/8,410.45
  6. Step 6: Final answer
    x = 3,848.95

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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.