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Finding the Fourth Proportional to 10,698.62, 14,768.82 and 6,874.29

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Solution

The fourth proportional to 10,698.62, 14,768.82 and 6,874.29 is: 9,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.62 : 14,768.82 = 6,874.29 : x
  2. Step 2: Convert to fraction form
    10,698.62/14,768.82 = 6,874.29/x
  3. Step 3: Cross multiply
    10,698.62x = 14,768.82 × 6,874.29
  4. Step 4: Simplify right side
    10,698.62x = 101,525,151.64
  5. Step 5: Solve for x
    x = 101,525,151.64/10,698.62
  6. Step 6: Final answer
    x = 9,489.56

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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.