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Finding the Fourth Proportional to 10,480.66, 15,731.30 and 7,699.52

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Solution

The fourth proportional to 10,480.66, 15,731.30 and 7,699.52 is: 11,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.66 : 15,731.30 = 7,699.52 : x
  2. Step 2: Convert to fraction form
    10,480.66/15,731.30 = 7,699.52/x
  3. Step 3: Cross multiply
    10,480.66x = 15,731.30 × 7,699.52
  4. Step 4: Simplify right side
    10,480.66x = 121,123,458.98
  5. Step 5: Solve for x
    x = 121,123,458.98/10,480.66
  6. Step 6: Final answer
    x = 11,556.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.