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Finding the Fourth Proportional to 11,364.89, 15,689.68 and 7,972.29

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Solution

The fourth proportional to 11,364.89, 15,689.68 and 7,972.29 is: 11,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.89 : 15,689.68 = 7,972.29 : x
  2. Step 2: Convert to fraction form
    11,364.89/15,689.68 = 7,972.29/x
  3. Step 3: Cross multiply
    11,364.89x = 15,689.68 × 7,972.29
  4. Step 4: Simplify right side
    11,364.89x = 125,082,659.04
  5. Step 5: Solve for x
    x = 125,082,659.04/11,364.89
  6. Step 6: Final answer
    x = 11,006.06

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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.