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Finding the Fourth Proportional to 6,805.12, 10,211.04 and 3,298.08

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Solution

The fourth proportional to 6,805.12, 10,211.04 and 3,298.08 is: 4,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.12 : 10,211.04 = 3,298.08 : x
  2. Step 2: Convert to fraction form
    6,805.12/10,211.04 = 3,298.08/x
  3. Step 3: Cross multiply
    6,805.12x = 10,211.04 × 3,298.08
  4. Step 4: Simplify right side
    6,805.12x = 33,676,826.80
  5. Step 5: Solve for x
    x = 33,676,826.80/6,805.12
  6. Step 6: Final answer
    x = 4,948.75

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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.