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Finding the Fourth Proportional to 10,062.38, 13,882.23 and 7,763.46

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Solution

The fourth proportional to 10,062.38, 13,882.23 and 7,763.46 is: 10,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.38 : 13,882.23 = 7,763.46 : x
  2. Step 2: Convert to fraction form
    10,062.38/13,882.23 = 7,763.46/x
  3. Step 3: Cross multiply
    10,062.38x = 13,882.23 × 7,763.46
  4. Step 4: Simplify right side
    10,062.38x = 107,774,137.32
  5. Step 5: Solve for x
    x = 107,774,137.32/10,062.38
  6. Step 6: Final answer
    x = 10,710.61

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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.