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Finding the Fourth Proportional to 7,966.62, 10,976.45 and 5,941.49

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Solution

The fourth proportional to 7,966.62, 10,976.45 and 5,941.49 is: 8,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.62 : 10,976.45 = 5,941.49 : x
  2. Step 2: Convert to fraction form
    7,966.62/10,976.45 = 5,941.49/x
  3. Step 3: Cross multiply
    7,966.62x = 10,976.45 × 5,941.49
  4. Step 4: Simplify right side
    7,966.62x = 65,216,383.32
  5. Step 5: Solve for x
    x = 65,216,383.32/7,966.62
  6. Step 6: Final answer
    x = 8,186.20

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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.