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Finding the Fourth Proportional to 7,494.32, 11,223.96 and 5,923.78

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Solution

The fourth proportional to 7,494.32, 11,223.96 and 5,923.78 is: 8,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.32 : 11,223.96 = 5,923.78 : x
  2. Step 2: Convert to fraction form
    7,494.32/11,223.96 = 5,923.78/x
  3. Step 3: Cross multiply
    7,494.32x = 11,223.96 × 5,923.78
  4. Step 4: Simplify right side
    7,494.32x = 66,488,269.77
  5. Step 5: Solve for x
    x = 66,488,269.77/7,494.32
  6. Step 6: Final answer
    x = 8,871.82

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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.