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Finding the Fourth Proportional to 11,427.68, 15,771.40 and 6,711.92

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Solution

The fourth proportional to 11,427.68, 15,771.40 and 6,711.92 is: 9,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.68 : 15,771.40 = 6,711.92 : x
  2. Step 2: Convert to fraction form
    11,427.68/15,771.40 = 6,711.92/x
  3. Step 3: Cross multiply
    11,427.68x = 15,771.40 × 6,711.92
  4. Step 4: Simplify right side
    11,427.68x = 105,856,375.09
  5. Step 5: Solve for x
    x = 105,856,375.09/11,427.68
  6. Step 6: Final answer
    x = 9,263.16

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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.