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Finding the Fourth Proportional to 10,175.34, 15,230.52 and 6,637.08

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Solution

The fourth proportional to 10,175.34, 15,230.52 and 6,637.08 is: 9,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.34 : 15,230.52 = 6,637.08 : x
  2. Step 2: Convert to fraction form
    10,175.34/15,230.52 = 6,637.08/x
  3. Step 3: Cross multiply
    10,175.34x = 15,230.52 × 6,637.08
  4. Step 4: Simplify right side
    10,175.34x = 101,086,179.68
  5. Step 5: Solve for x
    x = 101,086,179.68/10,175.34
  6. Step 6: Final answer
    x = 9,934.43

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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.