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Finding the Fourth Proportional to 11,652.48, 16,071.18 and 8,243.46

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Solution

The fourth proportional to 11,652.48, 16,071.18 and 8,243.46 is: 11,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.48 : 16,071.18 = 8,243.46 : x
  2. Step 2: Convert to fraction form
    11,652.48/16,071.18 = 8,243.46/x
  3. Step 3: Cross multiply
    11,652.48x = 16,071.18 × 8,243.46
  4. Step 4: Simplify right side
    11,652.48x = 132,482,129.48
  5. Step 5: Solve for x
    x = 132,482,129.48/11,652.48
  6. Step 6: Final answer
    x = 11,369.44

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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.