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Finding the Fourth Proportional to 10,930.38, 15,085.86 and 6,453.84

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Solution

The fourth proportional to 10,930.38, 15,085.86 and 6,453.84 is: 8,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.38 : 15,085.86 = 6,453.84 : x
  2. Step 2: Convert to fraction form
    10,930.38/15,085.86 = 6,453.84/x
  3. Step 3: Cross multiply
    10,930.38x = 15,085.86 × 6,453.84
  4. Step 4: Simplify right side
    10,930.38x = 97,361,726.70
  5. Step 5: Solve for x
    x = 97,361,726.70/10,930.38
  6. Step 6: Final answer
    x = 8,907.44

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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.