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Finding the Fourth Proportional to 10,480.80, 14,462.40 and 5,764.80

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Solution

The fourth proportional to 10,480.80, 14,462.40 and 5,764.80 is: 7,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.80 : 14,462.40 = 5,764.80 : x
  2. Step 2: Convert to fraction form
    10,480.80/14,462.40 = 5,764.80/x
  3. Step 3: Cross multiply
    10,480.80x = 14,462.40 × 5,764.80
  4. Step 4: Simplify right side
    10,480.80x = 83,372,843.52
  5. Step 5: Solve for x
    x = 83,372,843.52/10,480.80
  6. Step 6: Final answer
    x = 7,954.82

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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.