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Finding the Fourth Proportional to 7,375.13, 10,177.67 and 4,063.13

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Solution

The fourth proportional to 7,375.13, 10,177.67 and 4,063.13 is: 5,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.13 : 10,177.67 = 4,063.13 : x
  2. Step 2: Convert to fraction form
    7,375.13/10,177.67 = 4,063.13/x
  3. Step 3: Cross multiply
    7,375.13x = 10,177.67 × 4,063.13
  4. Step 4: Simplify right side
    7,375.13x = 41,353,196.31
  5. Step 5: Solve for x
    x = 41,353,196.31/7,375.13
  6. Step 6: Final answer
    x = 5,607.11

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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.