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Finding the Fourth Proportional to 7,732.92, 11,601.54 and 3,050.04

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Solution

The fourth proportional to 7,732.92, 11,601.54 and 3,050.04 is: 4,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.92 : 11,601.54 = 3,050.04 : x
  2. Step 2: Convert to fraction form
    7,732.92/11,601.54 = 3,050.04/x
  3. Step 3: Cross multiply
    7,732.92x = 11,601.54 × 3,050.04
  4. Step 4: Simplify right side
    7,732.92x = 35,385,161.06
  5. Step 5: Solve for x
    x = 35,385,161.06/7,732.92
  6. Step 6: Final answer
    x = 4,575.91

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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.