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Finding the Fourth Proportional to 7,538.60, 11,306.48 and 3,154.88

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Solution

The fourth proportional to 7,538.60, 11,306.48 and 3,154.88 is: 4,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.60 : 11,306.48 = 3,154.88 : x
  2. Step 2: Convert to fraction form
    7,538.60/11,306.48 = 3,154.88/x
  3. Step 3: Cross multiply
    7,538.60x = 11,306.48 × 3,154.88
  4. Step 4: Simplify right side
    7,538.60x = 35,670,587.62
  5. Step 5: Solve for x
    x = 35,670,587.62/7,538.60
  6. Step 6: Final answer
    x = 4,731.73

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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.