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Finding the Fourth Proportional to 10,275.77, 14,180.56 and 5,799.56

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Solution

The fourth proportional to 10,275.77, 14,180.56 and 5,799.56 is: 8,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.77 : 14,180.56 = 5,799.56 : x
  2. Step 2: Convert to fraction form
    10,275.77/14,180.56 = 5,799.56/x
  3. Step 3: Cross multiply
    10,275.77x = 14,180.56 × 5,799.56
  4. Step 4: Simplify right side
    10,275.77x = 82,240,923.15
  5. Step 5: Solve for x
    x = 82,240,923.15/10,275.77
  6. Step 6: Final answer
    x = 8,003.38

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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.