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Finding the Fourth Proportional to 8,216.50, 12,327.85 and 4,931.88

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Solution

The fourth proportional to 8,216.50, 12,327.85 and 4,931.88 is: 7,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.50 : 12,327.85 = 4,931.88 : x
  2. Step 2: Convert to fraction form
    8,216.50/12,327.85 = 4,931.88/x
  3. Step 3: Cross multiply
    8,216.50x = 12,327.85 × 4,931.88
  4. Step 4: Simplify right side
    8,216.50x = 60,799,433.71
  5. Step 5: Solve for x
    x = 60,799,433.71/8,216.50
  6. Step 6: Final answer
    x = 7,399.68

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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.