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Finding the Fourth Proportional to 6,843.54, 10,259.16 and 2,457.93

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Solution

The fourth proportional to 6,843.54, 10,259.16 and 2,457.93 is: 3,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.54 : 10,259.16 = 2,457.93 : x
  2. Step 2: Convert to fraction form
    6,843.54/10,259.16 = 2,457.93/x
  3. Step 3: Cross multiply
    6,843.54x = 10,259.16 × 2,457.93
  4. Step 4: Simplify right side
    6,843.54x = 25,216,297.14
  5. Step 5: Solve for x
    x = 25,216,297.14/6,843.54
  6. Step 6: Final answer
    x = 3,684.69

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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.