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Finding the Fourth Proportional to 8,320.72, 12,471.72 and 4,154.44

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Solution

The fourth proportional to 8,320.72, 12,471.72 and 4,154.44 is: 6,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.72 : 12,471.72 = 4,154.44 : x
  2. Step 2: Convert to fraction form
    8,320.72/12,471.72 = 4,154.44/x
  3. Step 3: Cross multiply
    8,320.72x = 12,471.72 × 4,154.44
  4. Step 4: Simplify right side
    8,320.72x = 51,813,012.44
  5. Step 5: Solve for x
    x = 51,813,012.44/8,320.72
  6. Step 6: Final answer
    x = 6,226.99

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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.