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Finding the Fourth Proportional to 7,912.38, 10,918.12 and 4,375.12

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Solution

The fourth proportional to 7,912.38, 10,918.12 and 4,375.12 is: 6,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.38 : 10,918.12 = 4,375.12 : x
  2. Step 2: Convert to fraction form
    7,912.38/10,918.12 = 4,375.12/x
  3. Step 3: Cross multiply
    7,912.38x = 10,918.12 × 4,375.12
  4. Step 4: Simplify right side
    7,912.38x = 47,768,085.17
  5. Step 5: Solve for x
    x = 47,768,085.17/7,912.38
  6. Step 6: Final answer
    x = 6,037.13

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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.