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Finding the Fourth Proportional to 8,376.62, 12,565.92 and 3,694.64

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Solution

The fourth proportional to 8,376.62, 12,565.92 and 3,694.64 is: 5,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.62 : 12,565.92 = 3,694.64 : x
  2. Step 2: Convert to fraction form
    8,376.62/12,565.92 = 3,694.64/x
  3. Step 3: Cross multiply
    8,376.62x = 12,565.92 × 3,694.64
  4. Step 4: Simplify right side
    8,376.62x = 46,426,550.67
  5. Step 5: Solve for x
    x = 46,426,550.67/8,376.62
  6. Step 6: Final answer
    x = 5,542.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.