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Finding the Fourth Proportional to 7,884.20, 10,877.49 and 5,053.86

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Solution

The fourth proportional to 7,884.20, 10,877.49 and 5,053.86 is: 6,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.20 : 10,877.49 = 5,053.86 : x
  2. Step 2: Convert to fraction form
    7,884.20/10,877.49 = 5,053.86/x
  3. Step 3: Cross multiply
    7,884.20x = 10,877.49 × 5,053.86
  4. Step 4: Simplify right side
    7,884.20x = 54,973,311.61
  5. Step 5: Solve for x
    x = 54,973,311.61/7,884.20
  6. Step 6: Final answer
    x = 6,972.59

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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.