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Finding the Fourth Proportional to 10,699.45, 14,763.13 and 5,982.82

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Solution

The fourth proportional to 10,699.45, 14,763.13 and 5,982.82 is: 8,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.45 : 14,763.13 = 5,982.82 : x
  2. Step 2: Convert to fraction form
    10,699.45/14,763.13 = 5,982.82/x
  3. Step 3: Cross multiply
    10,699.45x = 14,763.13 × 5,982.82
  4. Step 4: Simplify right side
    10,699.45x = 88,325,149.43
  5. Step 5: Solve for x
    x = 88,325,149.43/10,699.45
  6. Step 6: Final answer
    x = 8,255.11

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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.