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Finding the Fourth Proportional to 6,843.90, 10,259.77 and 2,460.18

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Solution

The fourth proportional to 6,843.90, 10,259.77 and 2,460.18 is: 3,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.90 : 10,259.77 = 2,460.18 : x
  2. Step 2: Convert to fraction form
    6,843.90/10,259.77 = 2,460.18/x
  3. Step 3: Cross multiply
    6,843.90x = 10,259.77 × 2,460.18
  4. Step 4: Simplify right side
    6,843.90x = 25,240,880.96
  5. Step 5: Solve for x
    x = 25,240,880.96/6,843.90
  6. Step 6: Final answer
    x = 3,688.08

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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.