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Finding the Fourth Proportional to 11,551.42, 17,292.57 and 7,438.78

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Solution

The fourth proportional to 11,551.42, 17,292.57 and 7,438.78 is: 11,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.42 : 17,292.57 = 7,438.78 : x
  2. Step 2: Convert to fraction form
    11,551.42/17,292.57 = 7,438.78/x
  3. Step 3: Cross multiply
    11,551.42x = 17,292.57 × 7,438.78
  4. Step 4: Simplify right side
    11,551.42x = 128,635,623.86
  5. Step 5: Solve for x
    x = 128,635,623.86/11,551.42
  6. Step 6: Final answer
    x = 11,135.91

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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.