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Finding the Fourth Proportional to 11,571.84, 15,969.18 and 6,266.64

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Solution

The fourth proportional to 11,571.84, 15,969.18 and 6,266.64 is: 8,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.84 : 15,969.18 = 6,266.64 : x
  2. Step 2: Convert to fraction form
    11,571.84/15,969.18 = 6,266.64/x
  3. Step 3: Cross multiply
    11,571.84x = 15,969.18 × 6,266.64
  4. Step 4: Simplify right side
    11,571.84x = 100,073,102.16
  5. Step 5: Solve for x
    x = 100,073,102.16/11,571.84
  6. Step 6: Final answer
    x = 8,647.99

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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.