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Finding the Fourth Proportional to 11,665.52, 16,094.40 and 8,127.44

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Solution

The fourth proportional to 11,665.52, 16,094.40 and 8,127.44 is: 11,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.52 : 16,094.40 = 8,127.44 : x
  2. Step 2: Convert to fraction form
    11,665.52/16,094.40 = 8,127.44/x
  3. Step 3: Cross multiply
    11,665.52x = 16,094.40 × 8,127.44
  4. Step 4: Simplify right side
    11,665.52x = 130,806,270.34
  5. Step 5: Solve for x
    x = 130,806,270.34/11,665.52
  6. Step 6: Final answer
    x = 11,213.07

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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.