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Finding the Fourth Proportional to 8,182.82, 11,302.85 and 6,317.46

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Solution

The fourth proportional to 8,182.82, 11,302.85 and 6,317.46 is: 8,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.82 : 11,302.85 = 6,317.46 : x
  2. Step 2: Convert to fraction form
    8,182.82/11,302.85 = 6,317.46/x
  3. Step 3: Cross multiply
    8,182.82x = 11,302.85 × 6,317.46
  4. Step 4: Simplify right side
    8,182.82x = 71,405,302.76
  5. Step 5: Solve for x
    x = 71,405,302.76/8,182.82
  6. Step 6: Final answer
    x = 8,726.25

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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.