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Finding the Fourth Proportional to 8,192.67, 12,286.77 and 3,510.36

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Solution

The fourth proportional to 8,192.67, 12,286.77 and 3,510.36 is: 5,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.67 : 12,286.77 = 3,510.36 : x
  2. Step 2: Convert to fraction form
    8,192.67/12,286.77 = 3,510.36/x
  3. Step 3: Cross multiply
    8,192.67x = 12,286.77 × 3,510.36
  4. Step 4: Simplify right side
    8,192.67x = 43,130,985.94
  5. Step 5: Solve for x
    x = 43,130,985.94/8,192.67
  6. Step 6: Final answer
    x = 5,264.58

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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.