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Finding the Fourth Proportional to 10,422.72, 14,383.68 and 5,706.96

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Solution

The fourth proportional to 10,422.72, 14,383.68 and 5,706.96 is: 7,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.72 : 14,383.68 = 5,706.96 : x
  2. Step 2: Convert to fraction form
    10,422.72/14,383.68 = 5,706.96/x
  3. Step 3: Cross multiply
    10,422.72x = 14,383.68 × 5,706.96
  4. Step 4: Simplify right side
    10,422.72x = 82,087,086.41
  5. Step 5: Solve for x
    x = 82,087,086.41/10,422.72
  6. Step 6: Final answer
    x = 7,875.78

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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.