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Finding the Fourth Proportional to 6,843.77, 10,268.44 and 2,461.57

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Solution

The fourth proportional to 6,843.77, 10,268.44 and 2,461.57 is: 3,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.77 : 10,268.44 = 2,461.57 : x
  2. Step 2: Convert to fraction form
    6,843.77/10,268.44 = 2,461.57/x
  3. Step 3: Cross multiply
    6,843.77x = 10,268.44 × 2,461.57
  4. Step 4: Simplify right side
    6,843.77x = 25,276,432.51
  5. Step 5: Solve for x
    x = 25,276,432.51/6,843.77
  6. Step 6: Final answer
    x = 3,693.35

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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.