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Finding the Fourth Proportional to 7,701.92, 11,553.16 and 2,155.04

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Solution

The fourth proportional to 7,701.92, 11,553.16 and 2,155.04 is: 3,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.92 : 11,553.16 = 2,155.04 : x
  2. Step 2: Convert to fraction form
    7,701.92/11,553.16 = 2,155.04/x
  3. Step 3: Cross multiply
    7,701.92x = 11,553.16 × 2,155.04
  4. Step 4: Simplify right side
    7,701.92x = 24,897,521.93
  5. Step 5: Solve for x
    x = 24,897,521.93/7,701.92
  6. Step 6: Final answer
    x = 3,232.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.