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Finding the Fourth Proportional to 7,934.78, 11,843.56 and 7,000.94

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Solution

The fourth proportional to 7,934.78, 11,843.56 and 7,000.94 is: 10,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.78 : 11,843.56 = 7,000.94 : x
  2. Step 2: Convert to fraction form
    7,934.78/11,843.56 = 7,000.94/x
  3. Step 3: Cross multiply
    7,934.78x = 11,843.56 × 7,000.94
  4. Step 4: Simplify right side
    7,934.78x = 82,916,052.95
  5. Step 5: Solve for x
    x = 82,916,052.95/7,934.78
  6. Step 6: Final answer
    x = 10,449.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.