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Finding the Fourth Proportional to 8,226.84, 12,329.52 and 7,184.37

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Solution

The fourth proportional to 8,226.84, 12,329.52 and 7,184.37 is: 10,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.84 : 12,329.52 = 7,184.37 : x
  2. Step 2: Convert to fraction form
    8,226.84/12,329.52 = 7,184.37/x
  3. Step 3: Cross multiply
    8,226.84x = 12,329.52 × 7,184.37
  4. Step 4: Simplify right side
    8,226.84x = 88,579,833.60
  5. Step 5: Solve for x
    x = 88,579,833.60/8,226.84
  6. Step 6: Final answer
    x = 10,767.18

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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.