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Finding the Fourth Proportional to 7,960.85, 11,941.16 and 4,841.71

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Solution

The fourth proportional to 7,960.85, 11,941.16 and 4,841.71 is: 7,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.85 : 11,941.16 = 4,841.71 : x
  2. Step 2: Convert to fraction form
    7,960.85/11,941.16 = 4,841.71/x
  3. Step 3: Cross multiply
    7,960.85x = 11,941.16 × 4,841.71
  4. Step 4: Simplify right side
    7,960.85x = 57,815,616.03
  5. Step 5: Solve for x
    x = 57,815,616.03/7,960.85
  6. Step 6: Final answer
    x = 7,262.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.