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Finding the Fourth Proportional to 10,480.38, 14,463.05 and 5,764.74

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Solution

The fourth proportional to 10,480.38, 14,463.05 and 5,764.74 is: 7,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.38 : 14,463.05 = 5,764.74 : x
  2. Step 2: Convert to fraction form
    10,480.38/14,463.05 = 5,764.74/x
  3. Step 3: Cross multiply
    10,480.38x = 14,463.05 × 5,764.74
  4. Step 4: Simplify right side
    10,480.38x = 83,375,694.03
  5. Step 5: Solve for x
    x = 83,375,694.03/10,480.38
  6. Step 6: Final answer
    x = 7,955.41

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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.