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Finding the Fourth Proportional to 8,228.65, 11,355.50 and 4,451.82

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Solution

The fourth proportional to 8,228.65, 11,355.50 and 4,451.82 is: 6,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.65 : 11,355.50 = 4,451.82 : x
  2. Step 2: Convert to fraction form
    8,228.65/11,355.50 = 4,451.82/x
  3. Step 3: Cross multiply
    8,228.65x = 11,355.50 × 4,451.82
  4. Step 4: Simplify right side
    8,228.65x = 50,552,642.01
  5. Step 5: Solve for x
    x = 50,552,642.01/8,228.65
  6. Step 6: Final answer
    x = 6,143.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.