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Finding the Fourth Proportional to 6,886.40, 10,328.72 and 2,206.89

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Solution

The fourth proportional to 6,886.40, 10,328.72 and 2,206.89 is: 3,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.40 : 10,328.72 = 2,206.89 : x
  2. Step 2: Convert to fraction form
    6,886.40/10,328.72 = 2,206.89/x
  3. Step 3: Cross multiply
    6,886.40x = 10,328.72 × 2,206.89
  4. Step 4: Simplify right side
    6,886.40x = 22,794,337.85
  5. Step 5: Solve for x
    x = 22,794,337.85/6,886.40
  6. Step 6: Final answer
    x = 3,310.05

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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.