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Finding the Fourth Proportional to 8,182.84, 12,262.81 and 4,426.51

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Solution

The fourth proportional to 8,182.84, 12,262.81 and 4,426.51 is: 6,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.84 : 12,262.81 = 4,426.51 : x
  2. Step 2: Convert to fraction form
    8,182.84/12,262.81 = 4,426.51/x
  3. Step 3: Cross multiply
    8,182.84x = 12,262.81 × 4,426.51
  4. Step 4: Simplify right side
    8,182.84x = 54,281,389.78
  5. Step 5: Solve for x
    x = 54,281,389.78/8,182.84
  6. Step 6: Final answer
    x = 6,633.57

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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.