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Finding the Fourth Proportional to 7,934.58, 11,902.02 and 3,006.54

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Solution

The fourth proportional to 7,934.58, 11,902.02 and 3,006.54 is: 4,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.58 : 11,902.02 = 3,006.54 : x
  2. Step 2: Convert to fraction form
    7,934.58/11,902.02 = 3,006.54/x
  3. Step 3: Cross multiply
    7,934.58x = 11,902.02 × 3,006.54
  4. Step 4: Simplify right side
    7,934.58x = 35,783,899.21
  5. Step 5: Solve for x
    x = 35,783,899.21/7,934.58
  6. Step 6: Final answer
    x = 4,509.87

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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.