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Finding the Fourth Proportional to 8,053.02, 12,072.24 and 2,857.68

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Solution

The fourth proportional to 8,053.02, 12,072.24 and 2,857.68 is: 4,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.02 : 12,072.24 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    8,053.02/12,072.24 = 2,857.68/x
  3. Step 3: Cross multiply
    8,053.02x = 12,072.24 × 2,857.68
  4. Step 4: Simplify right side
    8,053.02x = 34,498,598.80
  5. Step 5: Solve for x
    x = 34,498,598.80/8,053.02
  6. Step 6: Final answer
    x = 4,283.93

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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.