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Finding the Fourth Proportional to 10,856.33, 16,286.22 and 4,616.40

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Solution

The fourth proportional to 10,856.33, 16,286.22 and 4,616.40 is: 6,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.33 : 16,286.22 = 4,616.40 : x
  2. Step 2: Convert to fraction form
    10,856.33/16,286.22 = 4,616.40/x
  3. Step 3: Cross multiply
    10,856.33x = 16,286.22 × 4,616.40
  4. Step 4: Simplify right side
    10,856.33x = 75,183,706.01
  5. Step 5: Solve for x
    x = 75,183,706.01/10,856.33
  6. Step 6: Final answer
    x = 6,925.34

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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.