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Finding the Fourth Proportional to 11,286.28, 15,582.63 and 7,039.06

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Solution

The fourth proportional to 11,286.28, 15,582.63 and 7,039.06 is: 9,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.28 : 15,582.63 = 7,039.06 : x
  2. Step 2: Convert to fraction form
    11,286.28/15,582.63 = 7,039.06/x
  3. Step 3: Cross multiply
    11,286.28x = 15,582.63 × 7,039.06
  4. Step 4: Simplify right side
    11,286.28x = 109,687,067.53
  5. Step 5: Solve for x
    x = 109,687,067.53/11,286.28
  6. Step 6: Final answer
    x = 9,718.62

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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.