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Finding the Fourth Proportional to 10,144.50, 13,999.59 and 5,952.66

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Solution

The fourth proportional to 10,144.50, 13,999.59 and 5,952.66 is: 8,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.50 : 13,999.59 = 5,952.66 : x
  2. Step 2: Convert to fraction form
    10,144.50/13,999.59 = 5,952.66/x
  3. Step 3: Cross multiply
    10,144.50x = 13,999.59 × 5,952.66
  4. Step 4: Simplify right side
    10,144.50x = 83,334,799.41
  5. Step 5: Solve for x
    x = 83,334,799.41/10,144.50
  6. Step 6: Final answer
    x = 8,214.78

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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.