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Finding the Fourth Proportional to 7,732.97, 10,671.75 and 4,546.22

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Solution

The fourth proportional to 7,732.97, 10,671.75 and 4,546.22 is: 6,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.97 : 10,671.75 = 4,546.22 : x
  2. Step 2: Convert to fraction form
    7,732.97/10,671.75 = 4,546.22/x
  3. Step 3: Cross multiply
    7,732.97x = 10,671.75 × 4,546.22
  4. Step 4: Simplify right side
    7,732.97x = 48,516,069.93
  5. Step 5: Solve for x
    x = 48,516,069.93/7,732.97
  6. Step 6: Final answer
    x = 6,273.93

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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.