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Finding the Fourth Proportional to 8,176.86, 12,262.86 and 2,983.14

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Solution

The fourth proportional to 8,176.86, 12,262.86 and 2,983.14 is: 4,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.86 : 12,262.86 = 2,983.14 : x
  2. Step 2: Convert to fraction form
    8,176.86/12,262.86 = 2,983.14/x
  3. Step 3: Cross multiply
    8,176.86x = 12,262.86 × 2,983.14
  4. Step 4: Simplify right side
    8,176.86x = 36,581,828.18
  5. Step 5: Solve for x
    x = 36,581,828.18/8,176.86
  6. Step 6: Final answer
    x = 4,473.82

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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.