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Finding the Fourth Proportional to 11,660.16, 16,081.92 and 7,468.80

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Solution

The fourth proportional to 11,660.16, 16,081.92 and 7,468.80 is: 10,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.16 : 16,081.92 = 7,468.80 : x
  2. Step 2: Convert to fraction form
    11,660.16/16,081.92 = 7,468.80/x
  3. Step 3: Cross multiply
    11,660.16x = 16,081.92 × 7,468.80
  4. Step 4: Simplify right side
    11,660.16x = 120,112,644.10
  5. Step 5: Solve for x
    x = 120,112,644.10/11,660.16
  6. Step 6: Final answer
    x = 10,301.11

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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.