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Finding the Fourth Proportional to 6,885.56, 10,328.54 and 2,206.23

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Solution

The fourth proportional to 6,885.56, 10,328.54 and 2,206.23 is: 3,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.56 : 10,328.54 = 2,206.23 : x
  2. Step 2: Convert to fraction form
    6,885.56/10,328.54 = 2,206.23/x
  3. Step 3: Cross multiply
    6,885.56x = 10,328.54 × 2,206.23
  4. Step 4: Simplify right side
    6,885.56x = 22,787,123.77
  5. Step 5: Solve for x
    x = 22,787,123.77/6,885.56
  6. Step 6: Final answer
    x = 3,309.41

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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.