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Finding the Fourth Proportional to 10,317.66, 14,239.25 and 5,842.20

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Solution

The fourth proportional to 10,317.66, 14,239.25 and 5,842.20 is: 8,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.66 : 14,239.25 = 5,842.20 : x
  2. Step 2: Convert to fraction form
    10,317.66/14,239.25 = 5,842.20/x
  3. Step 3: Cross multiply
    10,317.66x = 14,239.25 × 5,842.20
  4. Step 4: Simplify right side
    10,317.66x = 83,188,546.35
  5. Step 5: Solve for x
    x = 83,188,546.35/10,317.66
  6. Step 6: Final answer
    x = 8,062.73

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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.