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Finding the Fourth Proportional to 8,186.89, 12,276.83 and 3,117.76

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Solution

The fourth proportional to 8,186.89, 12,276.83 and 3,117.76 is: 4,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.89 : 12,276.83 = 3,117.76 : x
  2. Step 2: Convert to fraction form
    8,186.89/12,276.83 = 3,117.76/x
  3. Step 3: Cross multiply
    8,186.89x = 12,276.83 × 3,117.76
  4. Step 4: Simplify right side
    8,186.89x = 38,276,209.50
  5. Step 5: Solve for x
    x = 38,276,209.50/8,186.89
  6. Step 6: Final answer
    x = 4,675.31

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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.