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Finding the Fourth Proportional to 10,932.22, 15,085.09 and 6,151.57

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Solution

The fourth proportional to 10,932.22, 15,085.09 and 6,151.57 is: 8,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.22 : 15,085.09 = 6,151.57 : x
  2. Step 2: Convert to fraction form
    10,932.22/15,085.09 = 6,151.57/x
  3. Step 3: Cross multiply
    10,932.22x = 15,085.09 × 6,151.57
  4. Step 4: Simplify right side
    10,932.22x = 92,796,987.09
  5. Step 5: Solve for x
    x = 92,796,987.09/10,932.22
  6. Step 6: Final answer
    x = 8,488.39

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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.