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Finding the Fourth Proportional to 8,565.60, 12,846.78 and 3,635.40

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Solution

The fourth proportional to 8,565.60, 12,846.78 and 3,635.40 is: 5,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.60 : 12,846.78 = 3,635.40 : x
  2. Step 2: Convert to fraction form
    8,565.60/12,846.78 = 3,635.40/x
  3. Step 3: Cross multiply
    8,565.60x = 12,846.78 × 3,635.40
  4. Step 4: Simplify right side
    8,565.60x = 46,703,184.01
  5. Step 5: Solve for x
    x = 46,703,184.01/8,565.60
  6. Step 6: Final answer
    x = 5,452.41

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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.