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Finding the Fourth Proportional to 10,249.81, 14,142.31 and 5,772.67

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Solution

The fourth proportional to 10,249.81, 14,142.31 and 5,772.67 is: 7,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.81 : 14,142.31 = 5,772.67 : x
  2. Step 2: Convert to fraction form
    10,249.81/14,142.31 = 5,772.67/x
  3. Step 3: Cross multiply
    10,249.81x = 14,142.31 × 5,772.67
  4. Step 4: Simplify right side
    10,249.81x = 81,638,888.67
  5. Step 5: Solve for x
    x = 81,638,888.67/10,249.81
  6. Step 6: Final answer
    x = 7,964.92

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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.