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Finding the Fourth Proportional to 8,143.53, 12,206.73 and 5,184.24

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Solution

The fourth proportional to 8,143.53, 12,206.73 and 5,184.24 is: 7,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.53 : 12,206.73 = 5,184.24 : x
  2. Step 2: Convert to fraction form
    8,143.53/12,206.73 = 5,184.24/x
  3. Step 3: Cross multiply
    8,143.53x = 12,206.73 × 5,184.24
  4. Step 4: Simplify right side
    8,143.53x = 63,282,617.94
  5. Step 5: Solve for x
    x = 63,282,617.94/8,143.53
  6. Step 6: Final answer
    x = 7,770.91

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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.