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Finding the Fourth Proportional to 10,973, 15,142.78 and 6,005

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Solution

The fourth proportional to 10,973, 15,142.78 and 6,005 is: 8,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973 : 15,142.78 = 6,005 : x
  2. Step 2: Convert to fraction form
    10,973/15,142.78 = 6,005/x
  3. Step 3: Cross multiply
    10,973x = 15,142.78 × 6,005
  4. Step 4: Simplify right side
    10,973x = 90,932,393.90
  5. Step 5: Solve for x
    x = 90,932,393.90/10,973
  6. Step 6: Final answer
    x = 8,286.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.