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Finding the Fourth Proportional to 10,249.97, 14,148.93 and 8,012.57

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Solution

The fourth proportional to 10,249.97, 14,148.93 and 8,012.57 is: 11,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.97 : 14,148.93 = 8,012.57 : x
  2. Step 2: Convert to fraction form
    10,249.97/14,148.93 = 8,012.57/x
  3. Step 3: Cross multiply
    10,249.97x = 14,148.93 × 8,012.57
  4. Step 4: Simplify right side
    10,249.97x = 113,369,327.42
  5. Step 5: Solve for x
    x = 113,369,327.42/10,249.97
  6. Step 6: Final answer
    x = 11,060.45

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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.