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Finding the Fourth Proportional to 6,809.18, 10,213.78 and 1,878.88

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Solution

The fourth proportional to 6,809.18, 10,213.78 and 1,878.88 is: 2,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.18 : 10,213.78 = 1,878.88 : x
  2. Step 2: Convert to fraction form
    6,809.18/10,213.78 = 1,878.88/x
  3. Step 3: Cross multiply
    6,809.18x = 10,213.78 × 1,878.88
  4. Step 4: Simplify right side
    6,809.18x = 19,190,466.97
  5. Step 5: Solve for x
    x = 19,190,466.97/6,809.18
  6. Step 6: Final answer
    x = 2,818.32

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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.