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Finding the Fourth Proportional to 12,626.38, 17,417.28 and 7,902.46

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Solution

The fourth proportional to 12,626.38, 17,417.28 and 7,902.46 is: 10,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.38 : 17,417.28 = 7,902.46 : x
  2. Step 2: Convert to fraction form
    12,626.38/17,417.28 = 7,902.46/x
  3. Step 3: Cross multiply
    12,626.38x = 17,417.28 × 7,902.46
  4. Step 4: Simplify right side
    12,626.38x = 137,639,365.46
  5. Step 5: Solve for x
    x = 137,639,365.46/12,626.38
  6. Step 6: Final answer
    x = 10,900.94

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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.