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Finding the Fourth Proportional to 7,877.60, 10,871.48 and 4,474.88

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Solution

The fourth proportional to 7,877.60, 10,871.48 and 4,474.88 is: 6,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.60 : 10,871.48 = 4,474.88 : x
  2. Step 2: Convert to fraction form
    7,877.60/10,871.48 = 4,474.88/x
  3. Step 3: Cross multiply
    7,877.60x = 10,871.48 × 4,474.88
  4. Step 4: Simplify right side
    7,877.60x = 48,648,568.42
  5. Step 5: Solve for x
    x = 48,648,568.42/7,877.60
  6. Step 6: Final answer
    x = 6,175.56

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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.