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Finding the Fourth Proportional to 7,934.41, 11,902.69 and 2,740.69

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Solution

The fourth proportional to 7,934.41, 11,902.69 and 2,740.69 is: 4,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.41 : 11,902.69 = 2,740.69 : x
  2. Step 2: Convert to fraction form
    7,934.41/11,902.69 = 2,740.69/x
  3. Step 3: Cross multiply
    7,934.41x = 11,902.69 × 2,740.69
  4. Step 4: Simplify right side
    7,934.41x = 32,621,523.94
  5. Step 5: Solve for x
    x = 32,621,523.94/7,934.41
  6. Step 6: Final answer
    x = 4,111.40

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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.