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Finding the Fourth Proportional to 7,951.80, 10,966.14 and 4,966.68

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Solution

The fourth proportional to 7,951.80, 10,966.14 and 4,966.68 is: 6,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.80 : 10,966.14 = 4,966.68 : x
  2. Step 2: Convert to fraction form
    7,951.80/10,966.14 = 4,966.68/x
  3. Step 3: Cross multiply
    7,951.80x = 10,966.14 × 4,966.68
  4. Step 4: Simplify right side
    7,951.80x = 54,465,308.22
  5. Step 5: Solve for x
    x = 54,465,308.22/7,951.80
  6. Step 6: Final answer
    x = 6,849.43

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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.