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Finding the Fourth Proportional to 11,488.39, 15,854.33 and 6,452.72

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Solution

The fourth proportional to 11,488.39, 15,854.33 and 6,452.72 is: 8,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.39 : 15,854.33 = 6,452.72 : x
  2. Step 2: Convert to fraction form
    11,488.39/15,854.33 = 6,452.72/x
  3. Step 3: Cross multiply
    11,488.39x = 15,854.33 × 6,452.72
  4. Step 4: Simplify right side
    11,488.39x = 102,303,552.28
  5. Step 5: Solve for x
    x = 102,303,552.28/11,488.39
  6. Step 6: Final answer
    x = 8,904.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.