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Finding the Fourth Proportional to 11,488.29, 15,853.82 and 6,452.65

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Solution

The fourth proportional to 11,488.29, 15,853.82 and 6,452.65 is: 8,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.29 : 15,853.82 = 6,452.65 : x
  2. Step 2: Convert to fraction form
    11,488.29/15,853.82 = 6,452.65/x
  3. Step 3: Cross multiply
    11,488.29x = 15,853.82 × 6,452.65
  4. Step 4: Simplify right side
    11,488.29x = 102,299,151.62
  5. Step 5: Solve for x
    x = 102,299,151.62/11,488.29
  6. Step 6: Final answer
    x = 8,904.65

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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.