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Finding the Fourth Proportional to 11,167.20, 15,406.20 and 6,915.24

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Solution

The fourth proportional to 11,167.20, 15,406.20 and 6,915.24 is: 9,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.20 : 15,406.20 = 6,915.24 : x
  2. Step 2: Convert to fraction form
    11,167.20/15,406.20 = 6,915.24/x
  3. Step 3: Cross multiply
    11,167.20x = 15,406.20 × 6,915.24
  4. Step 4: Simplify right side
    11,167.20x = 106,537,570.49
  5. Step 5: Solve for x
    x = 106,537,570.49/11,167.20
  6. Step 6: Final answer
    x = 9,540.22

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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.