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Finding the Fourth Proportional to 8,523.66, 12,777.96 and 3,325.90

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Solution

The fourth proportional to 8,523.66, 12,777.96 and 3,325.90 is: 4,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.66 : 12,777.96 = 3,325.90 : x
  2. Step 2: Convert to fraction form
    8,523.66/12,777.96 = 3,325.90/x
  3. Step 3: Cross multiply
    8,523.66x = 12,777.96 × 3,325.90
  4. Step 4: Simplify right side
    8,523.66x = 42,498,217.16
  5. Step 5: Solve for x
    x = 42,498,217.16/8,523.66
  6. Step 6: Final answer
    x = 4,985.91

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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.