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Finding the Fourth Proportional to 10,698.39, 14,763.38 and 5,982.57

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Solution

The fourth proportional to 10,698.39, 14,763.38 and 5,982.57 is: 8,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.39 : 14,763.38 = 5,982.57 : x
  2. Step 2: Convert to fraction form
    10,698.39/14,763.38 = 5,982.57/x
  3. Step 3: Cross multiply
    10,698.39x = 14,763.38 × 5,982.57
  4. Step 4: Simplify right side
    10,698.39x = 88,322,924.37
  5. Step 5: Solve for x
    x = 88,322,924.37/10,698.39
  6. Step 6: Final answer
    x = 8,255.72

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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.