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Finding the Fourth Proportional to 7,574.49, 11,337.10 and 6,524.73

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Solution

The fourth proportional to 7,574.49, 11,337.10 and 6,524.73 is: 9,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.49 : 11,337.10 = 6,524.73 : x
  2. Step 2: Convert to fraction form
    7,574.49/11,337.10 = 6,524.73/x
  3. Step 3: Cross multiply
    7,574.49x = 11,337.10 × 6,524.73
  4. Step 4: Simplify right side
    7,574.49x = 73,971,500.17
  5. Step 5: Solve for x
    x = 73,971,500.17/7,574.49
  6. Step 6: Final answer
    x = 9,765.87

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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.