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Finding the Fourth Proportional to 10,224.12, 15,337.80 and 3,297

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Solution

The fourth proportional to 10,224.12, 15,337.80 and 3,297 is: 4,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.12 : 15,337.80 = 3,297 : x
  2. Step 2: Convert to fraction form
    10,224.12/15,337.80 = 3,297/x
  3. Step 3: Cross multiply
    10,224.12x = 15,337.80 × 3,297
  4. Step 4: Simplify right side
    10,224.12x = 50,568,726.60
  5. Step 5: Solve for x
    x = 50,568,726.60/10,224.12
  6. Step 6: Final answer
    x = 4,946.02

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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.