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Finding the Fourth Proportional to 7,748.38, 10,697.66 and 5,100.22

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Solution

The fourth proportional to 7,748.38, 10,697.66 and 5,100.22 is: 7,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.38 : 10,697.66 = 5,100.22 : x
  2. Step 2: Convert to fraction form
    7,748.38/10,697.66 = 5,100.22/x
  3. Step 3: Cross multiply
    7,748.38x = 10,697.66 × 5,100.22
  4. Step 4: Simplify right side
    7,748.38x = 54,560,419.49
  5. Step 5: Solve for x
    x = 54,560,419.49/7,748.38
  6. Step 6: Final answer
    x = 7,041.53

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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.