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Finding the Fourth Proportional to 11,417.88, 15,757.28 and 6,940.90

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Solution

The fourth proportional to 11,417.88, 15,757.28 and 6,940.90 is: 9,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.88 : 15,757.28 = 6,940.90 : x
  2. Step 2: Convert to fraction form
    11,417.88/15,757.28 = 6,940.90/x
  3. Step 3: Cross multiply
    11,417.88x = 15,757.28 × 6,940.90
  4. Step 4: Simplify right side
    11,417.88x = 109,369,704.75
  5. Step 5: Solve for x
    x = 109,369,704.75/11,417.88
  6. Step 6: Final answer
    x = 9,578.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.