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Finding the Fourth Proportional to 10,998.81, 15,178.23 and 5,963.04

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Solution

The fourth proportional to 10,998.81, 15,178.23 and 5,963.04 is: 8,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.81 : 15,178.23 = 5,963.04 : x
  2. Step 2: Convert to fraction form
    10,998.81/15,178.23 = 5,963.04/x
  3. Step 3: Cross multiply
    10,998.81x = 15,178.23 × 5,963.04
  4. Step 4: Simplify right side
    10,998.81x = 90,508,392.62
  5. Step 5: Solve for x
    x = 90,508,392.62/10,998.81
  6. Step 6: Final answer
    x = 8,228.93

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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.