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Finding the Fourth Proportional to 10,103.52, 13,929.26 and 7,074.57

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Solution

The fourth proportional to 10,103.52, 13,929.26 and 7,074.57 is: 9,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.52 : 13,929.26 = 7,074.57 : x
  2. Step 2: Convert to fraction form
    10,103.52/13,929.26 = 7,074.57/x
  3. Step 3: Cross multiply
    10,103.52x = 13,929.26 × 7,074.57
  4. Step 4: Simplify right side
    10,103.52x = 98,543,524.92
  5. Step 5: Solve for x
    x = 98,543,524.92/10,103.52
  6. Step 6: Final answer
    x = 9,753.39

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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.