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Finding the Fourth Proportional to 6,825.89, 10,243.19 and 4,490.59

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Solution

The fourth proportional to 6,825.89, 10,243.19 and 4,490.59 is: 6,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.89 : 10,243.19 = 4,490.59 : x
  2. Step 2: Convert to fraction form
    6,825.89/10,243.19 = 4,490.59/x
  3. Step 3: Cross multiply
    6,825.89x = 10,243.19 × 4,490.59
  4. Step 4: Simplify right side
    6,825.89x = 45,997,966.58
  5. Step 5: Solve for x
    x = 45,997,966.58/6,825.89
  6. Step 6: Final answer
    x = 6,738.75

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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.