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Finding the Fourth Proportional to 10,982.43, 15,162.74 and 7,212.29

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Solution

The fourth proportional to 10,982.43, 15,162.74 and 7,212.29 is: 9,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.43 : 15,162.74 = 7,212.29 : x
  2. Step 2: Convert to fraction form
    10,982.43/15,162.74 = 7,212.29/x
  3. Step 3: Cross multiply
    10,982.43x = 15,162.74 × 7,212.29
  4. Step 4: Simplify right side
    10,982.43x = 109,357,966.20
  5. Step 5: Solve for x
    x = 109,357,966.20/10,982.43
  6. Step 6: Final answer
    x = 9,957.54

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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.