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Finding the Fourth Proportional to 8,226.16, 12,339.12 and 1,986.12

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Solution

The fourth proportional to 8,226.16, 12,339.12 and 1,986.12 is: 2,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.16 : 12,339.12 = 1,986.12 : x
  2. Step 2: Convert to fraction form
    8,226.16/12,339.12 = 1,986.12/x
  3. Step 3: Cross multiply
    8,226.16x = 12,339.12 × 1,986.12
  4. Step 4: Simplify right side
    8,226.16x = 24,506,973.01
  5. Step 5: Solve for x
    x = 24,506,973.01/8,226.16
  6. Step 6: Final answer
    x = 2,979.15

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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.