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Finding the Fourth Proportional to 11,517.93, 15,894.81 and 6,482.25

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Solution

The fourth proportional to 11,517.93, 15,894.81 and 6,482.25 is: 8,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.93 : 15,894.81 = 6,482.25 : x
  2. Step 2: Convert to fraction form
    11,517.93/15,894.81 = 6,482.25/x
  3. Step 3: Cross multiply
    11,517.93x = 15,894.81 × 6,482.25
  4. Step 4: Simplify right side
    11,517.93x = 103,034,132.12
  5. Step 5: Solve for x
    x = 103,034,132.12/11,517.93
  6. Step 6: Final answer
    x = 8,945.54

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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.