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Finding the Fourth Proportional to 10,422.43, 14,383.92 and 5,707.42

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Solution

The fourth proportional to 10,422.43, 14,383.92 and 5,707.42 is: 7,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.43 : 14,383.92 = 5,707.42 : x
  2. Step 2: Convert to fraction form
    10,422.43/14,383.92 = 5,707.42/x
  3. Step 3: Cross multiply
    10,422.43x = 14,383.92 × 5,707.42
  4. Step 4: Simplify right side
    10,422.43x = 82,095,072.69
  5. Step 5: Solve for x
    x = 82,095,072.69/10,422.43
  6. Step 6: Final answer
    x = 7,876.77

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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.