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Finding the Fourth Proportional to 6,837.40, 10,259.34 and 3,918.16

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Solution

The fourth proportional to 6,837.40, 10,259.34 and 3,918.16 is: 5,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.40 : 10,259.34 = 3,918.16 : x
  2. Step 2: Convert to fraction form
    6,837.40/10,259.34 = 3,918.16/x
  3. Step 3: Cross multiply
    6,837.40x = 10,259.34 × 3,918.16
  4. Step 4: Simplify right side
    6,837.40x = 40,197,735.61
  5. Step 5: Solve for x
    x = 40,197,735.61/6,837.40
  6. Step 6: Final answer
    x = 5,879.10

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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.