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Finding the Fourth Proportional to 6,838.75, 10,259.12 and 2,157.18

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Solution

The fourth proportional to 6,838.75, 10,259.12 and 2,157.18 is: 3,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.75 : 10,259.12 = 2,157.18 : x
  2. Step 2: Convert to fraction form
    6,838.75/10,259.12 = 2,157.18/x
  3. Step 3: Cross multiply
    6,838.75x = 10,259.12 × 2,157.18
  4. Step 4: Simplify right side
    6,838.75x = 22,130,768.48
  5. Step 5: Solve for x
    x = 22,130,768.48/6,838.75
  6. Step 6: Final answer
    x = 3,236.08

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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.