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Finding the Fourth Proportional to 10,996.65, 15,178.05 and 6,283.62

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Solution

The fourth proportional to 10,996.65, 15,178.05 and 6,283.62 is: 8,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.65 : 15,178.05 = 6,283.62 : x
  2. Step 2: Convert to fraction form
    10,996.65/15,178.05 = 6,283.62/x
  3. Step 3: Cross multiply
    10,996.65x = 15,178.05 × 6,283.62
  4. Step 4: Simplify right side
    10,996.65x = 95,373,098.54
  5. Step 5: Solve for x
    x = 95,373,098.54/10,996.65
  6. Step 6: Final answer
    x = 8,672.92

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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.