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Finding the Fourth Proportional to 8,377.68, 12,561.64 and 2,829.20

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Solution

The fourth proportional to 8,377.68, 12,561.64 and 2,829.20 is: 4,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.68 : 12,561.64 = 2,829.20 : x
  2. Step 2: Convert to fraction form
    8,377.68/12,561.64 = 2,829.20/x
  3. Step 3: Cross multiply
    8,377.68x = 12,561.64 × 2,829.20
  4. Step 4: Simplify right side
    8,377.68x = 35,539,391.89
  5. Step 5: Solve for x
    x = 35,539,391.89/8,377.68
  6. Step 6: Final answer
    x = 4,242.15

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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.