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Finding the Fourth Proportional to 7,872.68, 10,854.21 and 6,451.13

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Solution

The fourth proportional to 7,872.68, 10,854.21 and 6,451.13 is: 8,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.68 : 10,854.21 = 6,451.13 : x
  2. Step 2: Convert to fraction form
    7,872.68/10,854.21 = 6,451.13/x
  3. Step 3: Cross multiply
    7,872.68x = 10,854.21 × 6,451.13
  4. Step 4: Simplify right side
    7,872.68x = 70,021,919.76
  5. Step 5: Solve for x
    x = 70,021,919.76/7,872.68
  6. Step 6: Final answer
    x = 8,894.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.