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Finding the Fourth Proportional to 10,698.80, 14,764.38 and 5,982.98

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Solution

The fourth proportional to 10,698.80, 14,764.38 and 5,982.98 is: 8,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.80 : 14,764.38 = 5,982.98 : x
  2. Step 2: Convert to fraction form
    10,698.80/14,764.38 = 5,982.98/x
  3. Step 3: Cross multiply
    10,698.80x = 14,764.38 × 5,982.98
  4. Step 4: Simplify right side
    10,698.80x = 88,334,990.25
  5. Step 5: Solve for x
    x = 88,334,990.25/10,698.80
  6. Step 6: Final answer
    x = 8,256.53

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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.