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Finding the Fourth Proportional to 7,402.34, 11,049.50 and 6,468.16

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Solution

The fourth proportional to 7,402.34, 11,049.50 and 6,468.16 is: 9,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.34 : 11,049.50 = 6,468.16 : x
  2. Step 2: Convert to fraction form
    7,402.34/11,049.50 = 6,468.16/x
  3. Step 3: Cross multiply
    7,402.34x = 11,049.50 × 6,468.16
  4. Step 4: Simplify right side
    7,402.34x = 71,469,933.92
  5. Step 5: Solve for x
    x = 71,469,933.92/7,402.34
  6. Step 6: Final answer
    x = 9,655.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.