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Finding the Fourth Proportional to 8,470.84, 12,700.83 and 2,847.82

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Solution

The fourth proportional to 8,470.84, 12,700.83 and 2,847.82 is: 4,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.84 : 12,700.83 = 2,847.82 : x
  2. Step 2: Convert to fraction form
    8,470.84/12,700.83 = 2,847.82/x
  3. Step 3: Cross multiply
    8,470.84x = 12,700.83 × 2,847.82
  4. Step 4: Simplify right side
    8,470.84x = 36,169,677.69
  5. Step 5: Solve for x
    x = 36,169,677.69/8,470.84
  6. Step 6: Final answer
    x = 4,269.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.