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Finding the Fourth Proportional to 10,249.66, 14,144.57 and 5,773.49

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Solution

The fourth proportional to 10,249.66, 14,144.57 and 5,773.49 is: 7,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.66 : 14,144.57 = 5,773.49 : x
  2. Step 2: Convert to fraction form
    10,249.66/14,144.57 = 5,773.49/x
  3. Step 3: Cross multiply
    10,249.66x = 14,144.57 × 5,773.49
  4. Step 4: Simplify right side
    10,249.66x = 81,663,620.59
  5. Step 5: Solve for x
    x = 81,663,620.59/10,249.66
  6. Step 6: Final answer
    x = 7,967.45

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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.