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Finding the Fourth Proportional to 7,941.85, 10,959.80 and 4,405.12

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Solution

The fourth proportional to 7,941.85, 10,959.80 and 4,405.12 is: 6,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.85 : 10,959.80 = 4,405.12 : x
  2. Step 2: Convert to fraction form
    7,941.85/10,959.80 = 4,405.12/x
  3. Step 3: Cross multiply
    7,941.85x = 10,959.80 × 4,405.12
  4. Step 4: Simplify right side
    7,941.85x = 48,279,179.38
  5. Step 5: Solve for x
    x = 48,279,179.38/7,941.85
  6. Step 6: Final answer
    x = 6,079.09

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Why These Related Problems?

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