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Finding the Fourth Proportional to 11,125.76, 15,344.70 and 7,147.28

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Solution

The fourth proportional to 11,125.76, 15,344.70 and 7,147.28 is: 9,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125.76 : 15,344.70 = 7,147.28 : x
  2. Step 2: Convert to fraction form
    11,125.76/15,344.70 = 7,147.28/x
  3. Step 3: Cross multiply
    11,125.76x = 15,344.70 × 7,147.28
  4. Step 4: Simplify right side
    11,125.76x = 109,672,867.42
  5. Step 5: Solve for x
    x = 109,672,867.42/11,125.76
  6. Step 6: Final answer
    x = 9,857.56

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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.