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Finding the Fourth Proportional to 8,327.34, 11,496.74 and 5,187.78

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Solution

The fourth proportional to 8,327.34, 11,496.74 and 5,187.78 is: 7,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.34 : 11,496.74 = 5,187.78 : x
  2. Step 2: Convert to fraction form
    8,327.34/11,496.74 = 5,187.78/x
  3. Step 3: Cross multiply
    8,327.34x = 11,496.74 × 5,187.78
  4. Step 4: Simplify right side
    8,327.34x = 59,642,531.90
  5. Step 5: Solve for x
    x = 59,642,531.90/8,327.34
  6. Step 6: Final answer
    x = 7,162.25

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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.