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Finding the Fourth Proportional to 6,827.97, 10,260.49 and 3,710.28

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Solution

The fourth proportional to 6,827.97, 10,260.49 and 3,710.28 is: 5,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.97 : 10,260.49 = 3,710.28 : x
  2. Step 2: Convert to fraction form
    6,827.97/10,260.49 = 3,710.28/x
  3. Step 3: Cross multiply
    6,827.97x = 10,260.49 × 3,710.28
  4. Step 4: Simplify right side
    6,827.97x = 38,069,327.00
  5. Step 5: Solve for x
    x = 38,069,327.00/6,827.97
  6. Step 6: Final answer
    x = 5,575.49

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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.