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Finding the Fourth Proportional to 8,174.43, 11,281.01 and 6,402.96

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Solution

The fourth proportional to 8,174.43, 11,281.01 and 6,402.96 is: 8,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.43 : 11,281.01 = 6,402.96 : x
  2. Step 2: Convert to fraction form
    8,174.43/11,281.01 = 6,402.96/x
  3. Step 3: Cross multiply
    8,174.43x = 11,281.01 × 6,402.96
  4. Step 4: Simplify right side
    8,174.43x = 72,231,823.77
  5. Step 5: Solve for x
    x = 72,231,823.77/8,174.43
  6. Step 6: Final answer
    x = 8,836.31

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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.