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Finding the Fourth Proportional to 10,377.50, 14,310.96 and 6,982.16

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Solution

The fourth proportional to 10,377.50, 14,310.96 and 6,982.16 is: 9,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.50 : 14,310.96 = 6,982.16 : x
  2. Step 2: Convert to fraction form
    10,377.50/14,310.96 = 6,982.16/x
  3. Step 3: Cross multiply
    10,377.50x = 14,310.96 × 6,982.16
  4. Step 4: Simplify right side
    10,377.50x = 99,921,412.47
  5. Step 5: Solve for x
    x = 99,921,412.47/10,377.50
  6. Step 6: Final answer
    x = 9,628.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.