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Finding the Fourth Proportional to 7,942, 10,959.96 and 4,405.44

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Solution

The fourth proportional to 7,942, 10,959.96 and 4,405.44 is: 6,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942 : 10,959.96 = 4,405.44 : x
  2. Step 2: Convert to fraction form
    7,942/10,959.96 = 4,405.44/x
  3. Step 3: Cross multiply
    7,942x = 10,959.96 × 4,405.44
  4. Step 4: Simplify right side
    7,942x = 48,283,446.18
  5. Step 5: Solve for x
    x = 48,283,446.18/7,942
  6. Step 6: Final answer
    x = 6,079.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.