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Finding the Fourth Proportional to 7,438.62, 11,140.34 and 6,459.40

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Solution

The fourth proportional to 7,438.62, 11,140.34 and 6,459.40 is: 9,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.62 : 11,140.34 = 6,459.40 : x
  2. Step 2: Convert to fraction form
    7,438.62/11,140.34 = 6,459.40/x
  3. Step 3: Cross multiply
    7,438.62x = 11,140.34 × 6,459.40
  4. Step 4: Simplify right side
    7,438.62x = 71,959,912.20
  5. Step 5: Solve for x
    x = 71,959,912.20/7,438.62
  6. Step 6: Final answer
    x = 9,673.83

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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.