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Finding the Fourth Proportional to 8,411.16, 12,616.80 and 2,567.88

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Solution

The fourth proportional to 8,411.16, 12,616.80 and 2,567.88 is: 3,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.16 : 12,616.80 = 2,567.88 : x
  2. Step 2: Convert to fraction form
    8,411.16/12,616.80 = 2,567.88/x
  3. Step 3: Cross multiply
    8,411.16x = 12,616.80 × 2,567.88
  4. Step 4: Simplify right side
    8,411.16x = 32,398,428.38
  5. Step 5: Solve for x
    x = 32,398,428.38/8,411.16
  6. Step 6: Final answer
    x = 3,851.84

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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.