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Finding the Fourth Proportional to 7,884.80, 10,882.32 and 4,742.72

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Solution

The fourth proportional to 7,884.80, 10,882.32 and 4,742.72 is: 6,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.80 : 10,882.32 = 4,742.72 : x
  2. Step 2: Convert to fraction form
    7,884.80/10,882.32 = 4,742.72/x
  3. Step 3: Cross multiply
    7,884.80x = 10,882.32 × 4,742.72
  4. Step 4: Simplify right side
    7,884.80x = 51,611,796.71
  5. Step 5: Solve for x
    x = 51,611,796.71/7,884.80
  6. Step 6: Final answer
    x = 6,545.73

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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.