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Finding the Fourth Proportional to 7,466.28, 10,289.82 and 6,200.52

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Solution

The fourth proportional to 7,466.28, 10,289.82 and 6,200.52 is: 8,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.28 : 10,289.82 = 6,200.52 : x
  2. Step 2: Convert to fraction form
    7,466.28/10,289.82 = 6,200.52/x
  3. Step 3: Cross multiply
    7,466.28x = 10,289.82 × 6,200.52
  4. Step 4: Simplify right side
    7,466.28x = 63,802,234.71
  5. Step 5: Solve for x
    x = 63,802,234.71/7,466.28
  6. Step 6: Final answer
    x = 8,545.38

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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.