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Finding the Fourth Proportional to 7,029.78, 10,536.47 and 3,908.30

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Solution

The fourth proportional to 7,029.78, 10,536.47 and 3,908.30 is: 5,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.78 : 10,536.47 = 3,908.30 : x
  2. Step 2: Convert to fraction form
    7,029.78/10,536.47 = 3,908.30/x
  3. Step 3: Cross multiply
    7,029.78x = 10,536.47 × 3,908.30
  4. Step 4: Simplify right side
    7,029.78x = 41,179,633.02
  5. Step 5: Solve for x
    x = 41,179,633.02/7,029.78
  6. Step 6: Final answer
    x = 5,857.88

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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.