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Finding the Fourth Proportional to 7,624.80, 11,438.28 and 3,729.42

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Solution

The fourth proportional to 7,624.80, 11,438.28 and 3,729.42 is: 5,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.80 : 11,438.28 = 3,729.42 : x
  2. Step 2: Convert to fraction form
    7,624.80/11,438.28 = 3,729.42/x
  3. Step 3: Cross multiply
    7,624.80x = 11,438.28 × 3,729.42
  4. Step 4: Simplify right side
    7,624.80x = 42,658,150.20
  5. Step 5: Solve for x
    x = 42,658,150.20/7,624.80
  6. Step 6: Final answer
    x = 5,594.66

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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.