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Finding the Fourth Proportional to 10,243.88, 14,140.53 and 8,006.49

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Solution

The fourth proportional to 10,243.88, 14,140.53 and 8,006.49 is: 11,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.88 : 14,140.53 = 8,006.49 : x
  2. Step 2: Convert to fraction form
    10,243.88/14,140.53 = 8,006.49/x
  3. Step 3: Cross multiply
    10,243.88x = 14,140.53 × 8,006.49
  4. Step 4: Simplify right side
    10,243.88x = 113,215,994.79
  5. Step 5: Solve for x
    x = 113,215,994.79/10,243.88
  6. Step 6: Final answer
    x = 11,052.06

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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.