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Finding the Fourth Proportional to 8,311.66, 12,463.84 and 3,113.89

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Solution

The fourth proportional to 8,311.66, 12,463.84 and 3,113.89 is: 4,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.66 : 12,463.84 = 3,113.89 : x
  2. Step 2: Convert to fraction form
    8,311.66/12,463.84 = 3,113.89/x
  3. Step 3: Cross multiply
    8,311.66x = 12,463.84 × 3,113.89
  4. Step 4: Simplify right side
    8,311.66x = 38,811,026.74
  5. Step 5: Solve for x
    x = 38,811,026.74/8,311.66
  6. Step 6: Final answer
    x = 4,669.47

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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.