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Finding the Fourth Proportional to 10,699.26, 14,765.66 and 5,983.57

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Solution

The fourth proportional to 10,699.26, 14,765.66 and 5,983.57 is: 8,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.26 : 14,765.66 = 5,983.57 : x
  2. Step 2: Convert to fraction form
    10,699.26/14,765.66 = 5,983.57/x
  3. Step 3: Cross multiply
    10,699.26x = 14,765.66 × 5,983.57
  4. Step 4: Simplify right side
    10,699.26x = 88,351,360.21
  5. Step 5: Solve for x
    x = 88,351,360.21/10,699.26
  6. Step 6: Final answer
    x = 8,257.71

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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.