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Finding the Fourth Proportional to 10,224.51, 15,334.49 and 3,984.69

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Solution

The fourth proportional to 10,224.51, 15,334.49 and 3,984.69 is: 5,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.51 : 15,334.49 = 3,984.69 : x
  2. Step 2: Convert to fraction form
    10,224.51/15,334.49 = 3,984.69/x
  3. Step 3: Cross multiply
    10,224.51x = 15,334.49 × 3,984.69
  4. Step 4: Simplify right side
    10,224.51x = 61,103,169.03
  5. Step 5: Solve for x
    x = 61,103,169.03/10,224.51
  6. Step 6: Final answer
    x = 5,976.15

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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.