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Finding the Fourth Proportional to 10,297.32, 15,447.90 and 4,141.80

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Solution

The fourth proportional to 10,297.32, 15,447.90 and 4,141.80 is: 6,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.32 : 15,447.90 = 4,141.80 : x
  2. Step 2: Convert to fraction form
    10,297.32/15,447.90 = 4,141.80/x
  3. Step 3: Cross multiply
    10,297.32x = 15,447.90 × 4,141.80
  4. Step 4: Simplify right side
    10,297.32x = 63,982,112.22
  5. Step 5: Solve for x
    x = 63,982,112.22/10,297.32
  6. Step 6: Final answer
    x = 6,213.47

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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.