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Finding the Fourth Proportional to 11,452.38, 15,777.31 and 10,763.48

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Solution

The fourth proportional to 11,452.38, 15,777.31 and 10,763.48 is: 14,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.38 : 15,777.31 = 10,763.48 : x
  2. Step 2: Convert to fraction form
    11,452.38/15,777.31 = 10,763.48/x
  3. Step 3: Cross multiply
    11,452.38x = 15,777.31 × 10,763.48
  4. Step 4: Simplify right side
    11,452.38x = 169,818,760.64
  5. Step 5: Solve for x
    x = 169,818,760.64/11,452.38
  6. Step 6: Final answer
    x = 14,828.25

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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.