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Finding the Fourth Proportional to 6,828.60, 10,243.03 and 2,148.52

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Solution

The fourth proportional to 6,828.60, 10,243.03 and 2,148.52 is: 3,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.60 : 10,243.03 = 2,148.52 : x
  2. Step 2: Convert to fraction form
    6,828.60/10,243.03 = 2,148.52/x
  3. Step 3: Cross multiply
    6,828.60x = 10,243.03 × 2,148.52
  4. Step 4: Simplify right side
    6,828.60x = 22,007,354.82
  5. Step 5: Solve for x
    x = 22,007,354.82/6,828.60
  6. Step 6: Final answer
    x = 3,222.82

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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.