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Finding the Fourth Proportional to 6,801.26, 10,203.80 and 2,419.16

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Solution

The fourth proportional to 6,801.26, 10,203.80 and 2,419.16 is: 3,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.26 : 10,203.80 = 2,419.16 : x
  2. Step 2: Convert to fraction form
    6,801.26/10,203.80 = 2,419.16/x
  3. Step 3: Cross multiply
    6,801.26x = 10,203.80 × 2,419.16
  4. Step 4: Simplify right side
    6,801.26x = 24,684,612.71
  5. Step 5: Solve for x
    x = 24,684,612.71/6,801.26
  6. Step 6: Final answer
    x = 3,629.42

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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.