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Finding the Fourth Proportional to 7,335.25, 10,122.63 and 3,978.06

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Solution

The fourth proportional to 7,335.25, 10,122.63 and 3,978.06 is: 5,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.25 : 10,122.63 = 3,978.06 : x
  2. Step 2: Convert to fraction form
    7,335.25/10,122.63 = 3,978.06/x
  3. Step 3: Cross multiply
    7,335.25x = 10,122.63 × 3,978.06
  4. Step 4: Simplify right side
    7,335.25x = 40,268,376.62
  5. Step 5: Solve for x
    x = 40,268,376.62/7,335.25
  6. Step 6: Final answer
    x = 5,489.71

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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.