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Finding the Fourth Proportional to 12,861.46, 17,750.52 and 7,198.38

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Solution

The fourth proportional to 12,861.46, 17,750.52 and 7,198.38 is: 9,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.46 : 17,750.52 = 7,198.38 : x
  2. Step 2: Convert to fraction form
    12,861.46/17,750.52 = 7,198.38/x
  3. Step 3: Cross multiply
    12,861.46x = 17,750.52 × 7,198.38
  4. Step 4: Simplify right side
    12,861.46x = 127,774,988.16
  5. Step 5: Solve for x
    x = 127,774,988.16/12,861.46
  6. Step 6: Final answer
    x = 9,934.72

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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.