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Finding the Fourth Proportional to 8,216.14, 12,324.72 and 5,582.51

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Solution

The fourth proportional to 8,216.14, 12,324.72 and 5,582.51 is: 8,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.14 : 12,324.72 = 5,582.51 : x
  2. Step 2: Convert to fraction form
    8,216.14/12,324.72 = 5,582.51/x
  3. Step 3: Cross multiply
    8,216.14x = 12,324.72 × 5,582.51
  4. Step 4: Simplify right side
    8,216.14x = 68,802,872.65
  5. Step 5: Solve for x
    x = 68,802,872.65/8,216.14
  6. Step 6: Final answer
    x = 8,374.11

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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.