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Finding the Fourth Proportional to 6,957.68, 10,438.80 and 2,575.48

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Solution

The fourth proportional to 6,957.68, 10,438.80 and 2,575.48 is: 3,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.68 : 10,438.80 = 2,575.48 : x
  2. Step 2: Convert to fraction form
    6,957.68/10,438.80 = 2,575.48/x
  3. Step 3: Cross multiply
    6,957.68x = 10,438.80 × 2,575.48
  4. Step 4: Simplify right side
    6,957.68x = 26,884,920.62
  5. Step 5: Solve for x
    x = 26,884,920.62/6,957.68
  6. Step 6: Final answer
    x = 3,864.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.