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Finding the Fourth Proportional to 6,886.16, 10,329.92 and 2,204.99

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Solution

The fourth proportional to 6,886.16, 10,329.92 and 2,204.99 is: 3,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.16 : 10,329.92 = 2,204.99 : x
  2. Step 2: Convert to fraction form
    6,886.16/10,329.92 = 2,204.99/x
  3. Step 3: Cross multiply
    6,886.16x = 10,329.92 × 2,204.99
  4. Step 4: Simplify right side
    6,886.16x = 22,777,359.28
  5. Step 5: Solve for x
    x = 22,777,359.28/6,886.16
  6. Step 6: Final answer
    x = 3,307.70

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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.