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Finding the Fourth Proportional to 8,154.72, 12,211.68 and 5,224.08

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Solution

The fourth proportional to 8,154.72, 12,211.68 and 5,224.08 is: 7,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.72 : 12,211.68 = 5,224.08 : x
  2. Step 2: Convert to fraction form
    8,154.72/12,211.68 = 5,224.08/x
  3. Step 3: Cross multiply
    8,154.72x = 12,211.68 × 5,224.08
  4. Step 4: Simplify right side
    8,154.72x = 63,794,793.25
  5. Step 5: Solve for x
    x = 63,794,793.25/8,154.72
  6. Step 6: Final answer
    x = 7,823.05

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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.