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Finding the Fourth Proportional to 6,211.20, 8,576.64 and 4,124.64

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Solution

The fourth proportional to 6,211.20, 8,576.64 and 4,124.64 is: 5,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.20 : 8,576.64 = 4,124.64 : x
  2. Step 2: Convert to fraction form
    6,211.20/8,576.64 = 4,124.64/x
  3. Step 3: Cross multiply
    6,211.20x = 8,576.64 × 4,124.64
  4. Step 4: Simplify right side
    6,211.20x = 35,375,552.41
  5. Step 5: Solve for x
    x = 35,375,552.41/6,211.20
  6. Step 6: Final answer
    x = 5,695.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.