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Finding the Fourth Proportional to 8,767.50, 13,151.13 and 3,218.67

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Solution

The fourth proportional to 8,767.50, 13,151.13 and 3,218.67 is: 4,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.50 : 13,151.13 = 3,218.67 : x
  2. Step 2: Convert to fraction form
    8,767.50/13,151.13 = 3,218.67/x
  3. Step 3: Cross multiply
    8,767.50x = 13,151.13 × 3,218.67
  4. Step 4: Simplify right side
    8,767.50x = 42,329,147.60
  5. Step 5: Solve for x
    x = 42,329,147.60/8,767.50
  6. Step 6: Final answer
    x = 4,827.96

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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.