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Finding the Fourth Proportional to 8,193.49, 12,292.90 and 6,728.81

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Solution

The fourth proportional to 8,193.49, 12,292.90 and 6,728.81 is: 10,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.49 : 12,292.90 = 6,728.81 : x
  2. Step 2: Convert to fraction form
    8,193.49/12,292.90 = 6,728.81/x
  3. Step 3: Cross multiply
    8,193.49x = 12,292.90 × 6,728.81
  4. Step 4: Simplify right side
    8,193.49x = 82,716,510.16
  5. Step 5: Solve for x
    x = 82,716,510.16/8,193.49
  6. Step 6: Final answer
    x = 10,095.40

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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.