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Finding the Fourth Proportional to 10,297.32, 15,447.81 and 3,732.68

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Solution

The fourth proportional to 10,297.32, 15,447.81 and 3,732.68 is: 5,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.32 : 15,447.81 = 3,732.68 : x
  2. Step 2: Convert to fraction form
    10,297.32/15,447.81 = 3,732.68/x
  3. Step 3: Cross multiply
    10,297.32x = 15,447.81 × 3,732.68
  4. Step 4: Simplify right side
    10,297.32x = 57,661,654.19
  5. Step 5: Solve for x
    x = 57,661,654.19/10,297.32
  6. Step 6: Final answer
    x = 5,599.68

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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.