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Finding the Fourth Proportional to 7,231.89, 10,838.12 and 2,848.17

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Solution

The fourth proportional to 7,231.89, 10,838.12 and 2,848.17 is: 4,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.89 : 10,838.12 = 2,848.17 : x
  2. Step 2: Convert to fraction form
    7,231.89/10,838.12 = 2,848.17/x
  3. Step 3: Cross multiply
    7,231.89x = 10,838.12 × 2,848.17
  4. Step 4: Simplify right side
    7,231.89x = 30,868,794.00
  5. Step 5: Solve for x
    x = 30,868,794.00/7,231.89
  6. Step 6: Final answer
    x = 4,268.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.