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Finding the Fourth Proportional to 11,571.66, 15,968.84 and 6,266.46

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Solution

The fourth proportional to 11,571.66, 15,968.84 and 6,266.46 is: 8,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.66 : 15,968.84 = 6,266.46 : x
  2. Step 2: Convert to fraction form
    11,571.66/15,968.84 = 6,266.46/x
  3. Step 3: Cross multiply
    11,571.66x = 15,968.84 × 6,266.46
  4. Step 4: Simplify right side
    11,571.66x = 100,068,097.11
  5. Step 5: Solve for x
    x = 100,068,097.11/11,571.66
  6. Step 6: Final answer
    x = 8,647.69

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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.