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Finding the Fourth Proportional to 6,809.72, 10,204.18 and 2,858.84

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Solution

The fourth proportional to 6,809.72, 10,204.18 and 2,858.84 is: 4,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.72 : 10,204.18 = 2,858.84 : x
  2. Step 2: Convert to fraction form
    6,809.72/10,204.18 = 2,858.84/x
  3. Step 3: Cross multiply
    6,809.72x = 10,204.18 × 2,858.84
  4. Step 4: Simplify right side
    6,809.72x = 29,172,117.95
  5. Step 5: Solve for x
    x = 29,172,117.95/6,809.72
  6. Step 6: Final answer
    x = 4,283.89

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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.