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Finding the Fourth Proportional to 8,678.34, 13,016.43 and 2,834.46

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Solution

The fourth proportional to 8,678.34, 13,016.43 and 2,834.46 is: 4,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.34 : 13,016.43 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    8,678.34/13,016.43 = 2,834.46/x
  3. Step 3: Cross multiply
    8,678.34x = 13,016.43 × 2,834.46
  4. Step 4: Simplify right side
    8,678.34x = 36,894,550.18
  5. Step 5: Solve for x
    x = 36,894,550.18/8,678.34
  6. Step 6: Final answer
    x = 4,251.34

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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.