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Finding the Fourth Proportional to 6,532.66, 9,777.11 and 5,362.61

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Solution

The fourth proportional to 6,532.66, 9,777.11 and 5,362.61 is: 8,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.66 : 9,777.11 = 5,362.61 : x
  2. Step 2: Convert to fraction form
    6,532.66/9,777.11 = 5,362.61/x
  3. Step 3: Cross multiply
    6,532.66x = 9,777.11 × 5,362.61
  4. Step 4: Simplify right side
    6,532.66x = 52,430,827.86
  5. Step 5: Solve for x
    x = 52,430,827.86/6,532.66
  6. Step 6: Final answer
    x = 8,025.96

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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.