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Finding the Fourth Proportional to 10,949.31, 15,101.98 and 7,547.43

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Solution

The fourth proportional to 10,949.31, 15,101.98 and 7,547.43 is: 10,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.31 : 15,101.98 = 7,547.43 : x
  2. Step 2: Convert to fraction form
    10,949.31/15,101.98 = 7,547.43/x
  3. Step 3: Cross multiply
    10,949.31x = 15,101.98 × 7,547.43
  4. Step 4: Simplify right side
    10,949.31x = 113,981,073.81
  5. Step 5: Solve for x
    x = 113,981,073.81/10,949.31
  6. Step 6: Final answer
    x = 10,409.88

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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.