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Finding the Fourth Proportional to 11,576.52, 15,954.17 and 8,219.48

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Solution

The fourth proportional to 11,576.52, 15,954.17 and 8,219.48 is: 11,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.52 : 15,954.17 = 8,219.48 : x
  2. Step 2: Convert to fraction form
    11,576.52/15,954.17 = 8,219.48/x
  3. Step 3: Cross multiply
    11,576.52x = 15,954.17 × 8,219.48
  4. Step 4: Simplify right side
    11,576.52x = 131,134,860.36
  5. Step 5: Solve for x
    x = 131,134,860.36/11,576.52
  6. Step 6: Final answer
    x = 11,327.66

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Double scale
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1.5x scale

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.