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Finding the Fourth Proportional to 10,576.74, 15,865.22 and 4,254.54

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Solution

The fourth proportional to 10,576.74, 15,865.22 and 4,254.54 is: 6,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.74 : 15,865.22 = 4,254.54 : x
  2. Step 2: Convert to fraction form
    10,576.74/15,865.22 = 4,254.54/x
  3. Step 3: Cross multiply
    10,576.74x = 15,865.22 × 4,254.54
  4. Step 4: Simplify right side
    10,576.74x = 67,499,213.10
  5. Step 5: Solve for x
    x = 67,499,213.10/10,576.74
  6. Step 6: Final answer
    x = 6,381.85

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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.