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Finding the Fourth Proportional to 10,196.91, 15,318.77 and 7,242.65

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Solution

The fourth proportional to 10,196.91, 15,318.77 and 7,242.65 is: 10,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.91 : 15,318.77 = 7,242.65 : x
  2. Step 2: Convert to fraction form
    10,196.91/15,318.77 = 7,242.65/x
  3. Step 3: Cross multiply
    10,196.91x = 15,318.77 × 7,242.65
  4. Step 4: Simplify right side
    10,196.91x = 110,948,376.73
  5. Step 5: Solve for x
    x = 110,948,376.73/10,196.91
  6. Step 6: Final answer
    x = 10,880.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.