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Finding the Fourth Proportional to 8,210.70, 12,294.72 and 6,891.24

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Solution

The fourth proportional to 8,210.70, 12,294.72 and 6,891.24 is: 10,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.70 : 12,294.72 = 6,891.24 : x
  2. Step 2: Convert to fraction form
    8,210.70/12,294.72 = 6,891.24/x
  3. Step 3: Cross multiply
    8,210.70x = 12,294.72 × 6,891.24
  4. Step 4: Simplify right side
    8,210.70x = 84,725,866.25
  5. Step 5: Solve for x
    x = 84,725,866.25/8,210.70
  6. Step 6: Final answer
    x = 10,318.96

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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.