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Finding the Fourth Proportional to 10,698.57, 14,764.67 and 5,982.88

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Solution

The fourth proportional to 10,698.57, 14,764.67 and 5,982.88 is: 8,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.57 : 14,764.67 = 5,982.88 : x
  2. Step 2: Convert to fraction form
    10,698.57/14,764.67 = 5,982.88/x
  3. Step 3: Cross multiply
    10,698.57x = 14,764.67 × 5,982.88
  4. Step 4: Simplify right side
    10,698.57x = 88,335,248.85
  5. Step 5: Solve for x
    x = 88,335,248.85/10,698.57
  6. Step 6: Final answer
    x = 8,256.73

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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.