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Finding the Fourth Proportional to 10,712.03, 16,072.64 and 4,142.82

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Solution

The fourth proportional to 10,712.03, 16,072.64 and 4,142.82 is: 6,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.03 : 16,072.64 = 4,142.82 : x
  2. Step 2: Convert to fraction form
    10,712.03/16,072.64 = 4,142.82/x
  3. Step 3: Cross multiply
    10,712.03x = 16,072.64 × 4,142.82
  4. Step 4: Simplify right side
    10,712.03x = 66,586,033.73
  5. Step 5: Solve for x
    x = 66,586,033.73/10,712.03
  6. Step 6: Final answer
    x = 6,216.01

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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.