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Finding the Fourth Proportional to 7,670.12, 10,584.96 and 4,874

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Solution

The fourth proportional to 7,670.12, 10,584.96 and 4,874 is: 6,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.12 : 10,584.96 = 4,874 : x
  2. Step 2: Convert to fraction form
    7,670.12/10,584.96 = 4,874/x
  3. Step 3: Cross multiply
    7,670.12x = 10,584.96 × 4,874
  4. Step 4: Simplify right side
    7,670.12x = 51,591,095.04
  5. Step 5: Solve for x
    x = 51,591,095.04/7,670.12
  6. Step 6: Final answer
    x = 6,726.24

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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.