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Finding the Fourth Proportional to 10,297.82, 14,209.67 and 6,711.14

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Solution

The fourth proportional to 10,297.82, 14,209.67 and 6,711.14 is: 9,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.82 : 14,209.67 = 6,711.14 : x
  2. Step 2: Convert to fraction form
    10,297.82/14,209.67 = 6,711.14/x
  3. Step 3: Cross multiply
    10,297.82x = 14,209.67 × 6,711.14
  4. Step 4: Simplify right side
    10,297.82x = 95,363,084.72
  5. Step 5: Solve for x
    x = 95,363,084.72/10,297.82
  6. Step 6: Final answer
    x = 9,260.51

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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.