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Finding the Fourth Proportional to 11,517.96, 15,894.78 and 6,482.22

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Solution

The fourth proportional to 11,517.96, 15,894.78 and 6,482.22 is: 8,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.96 : 15,894.78 = 6,482.22 : x
  2. Step 2: Convert to fraction form
    11,517.96/15,894.78 = 6,482.22/x
  3. Step 3: Cross multiply
    11,517.96x = 15,894.78 × 6,482.22
  4. Step 4: Simplify right side
    11,517.96x = 103,033,451.40
  5. Step 5: Solve for x
    x = 103,033,451.40/11,517.96
  6. Step 6: Final answer
    x = 8,945.46

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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.