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Finding the Fourth Proportional to 11,224.74, 16,833.47 and 5,300.71

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Solution

The fourth proportional to 11,224.74, 16,833.47 and 5,300.71 is: 7,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.74 : 16,833.47 = 5,300.71 : x
  2. Step 2: Convert to fraction form
    11,224.74/16,833.47 = 5,300.71/x
  3. Step 3: Cross multiply
    11,224.74x = 16,833.47 × 5,300.71
  4. Step 4: Simplify right side
    11,224.74x = 89,229,316.26
  5. Step 5: Solve for x
    x = 89,229,316.26/11,224.74
  6. Step 6: Final answer
    x = 7,949.34

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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.