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Finding the Fourth Proportional to 7,942.70, 10,959.17 and 4,585.30

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Solution

The fourth proportional to 7,942.70, 10,959.17 and 4,585.30 is: 6,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.70 : 10,959.17 = 4,585.30 : x
  2. Step 2: Convert to fraction form
    7,942.70/10,959.17 = 4,585.30/x
  3. Step 3: Cross multiply
    7,942.70x = 10,959.17 × 4,585.30
  4. Step 4: Simplify right side
    7,942.70x = 50,251,031.88
  5. Step 5: Solve for x
    x = 50,251,031.88/7,942.70
  6. Step 6: Final answer
    x = 6,326.69

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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.