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Finding the Fourth Proportional to 11,286.67, 15,572.23 and 7,301.47

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Solution

The fourth proportional to 11,286.67, 15,572.23 and 7,301.47 is: 10,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.67 : 15,572.23 = 7,301.47 : x
  2. Step 2: Convert to fraction form
    11,286.67/15,572.23 = 7,301.47/x
  3. Step 3: Cross multiply
    11,286.67x = 15,572.23 × 7,301.47
  4. Step 4: Simplify right side
    11,286.67x = 113,700,170.18
  5. Step 5: Solve for x
    x = 113,700,170.18/11,286.67
  6. Step 6: Final answer
    x = 10,073.85

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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.