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Finding the Fourth Proportional to 8,510.24, 12,758.46 and 3,826.82

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Solution

The fourth proportional to 8,510.24, 12,758.46 and 3,826.82 is: 5,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.24 : 12,758.46 = 3,826.82 : x
  2. Step 2: Convert to fraction form
    8,510.24/12,758.46 = 3,826.82/x
  3. Step 3: Cross multiply
    8,510.24x = 12,758.46 × 3,826.82
  4. Step 4: Simplify right side
    8,510.24x = 48,824,329.90
  5. Step 5: Solve for x
    x = 48,824,329.90/8,510.24
  6. Step 6: Final answer
    x = 5,737.13

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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.