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Finding the Fourth Proportional to 11,571.15, 15,968.16 and 6,265.97

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Solution

The fourth proportional to 11,571.15, 15,968.16 and 6,265.97 is: 8,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.15 : 15,968.16 = 6,265.97 : x
  2. Step 2: Convert to fraction form
    11,571.15/15,968.16 = 6,265.97/x
  3. Step 3: Cross multiply
    11,571.15x = 15,968.16 × 6,265.97
  4. Step 4: Simplify right side
    11,571.15x = 100,055,931.67
  5. Step 5: Solve for x
    x = 100,055,931.67/11,571.15
  6. Step 6: Final answer
    x = 8,647.02

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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.