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Finding the Fourth Proportional to 6,825.60, 10,237.86 and 2,442.60

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Solution

The fourth proportional to 6,825.60, 10,237.86 and 2,442.60 is: 3,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.60 : 10,237.86 = 2,442.60 : x
  2. Step 2: Convert to fraction form
    6,825.60/10,237.86 = 2,442.60/x
  3. Step 3: Cross multiply
    6,825.60x = 10,237.86 × 2,442.60
  4. Step 4: Simplify right side
    6,825.60x = 25,006,996.84
  5. Step 5: Solve for x
    x = 25,006,996.84/6,825.60
  6. Step 6: Final answer
    x = 3,663.71

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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.