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Finding the Fourth Proportional to 8,204.53, 11,337.06 and 5,842.57

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Solution

The fourth proportional to 8,204.53, 11,337.06 and 5,842.57 is: 8,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.53 : 11,337.06 = 5,842.57 : x
  2. Step 2: Convert to fraction form
    8,204.53/11,337.06 = 5,842.57/x
  3. Step 3: Cross multiply
    8,204.53x = 11,337.06 × 5,842.57
  4. Step 4: Simplify right side
    8,204.53x = 66,237,566.64
  5. Step 5: Solve for x
    x = 66,237,566.64/8,204.53
  6. Step 6: Final answer
    x = 8,073.29

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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.