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Finding the Fourth Proportional to 8,747.68, 13,100.22 and 5,784.28

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Solution

The fourth proportional to 8,747.68, 13,100.22 and 5,784.28 is: 8,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.68 : 13,100.22 = 5,784.28 : x
  2. Step 2: Convert to fraction form
    8,747.68/13,100.22 = 5,784.28/x
  3. Step 3: Cross multiply
    8,747.68x = 13,100.22 × 5,784.28
  4. Step 4: Simplify right side
    8,747.68x = 75,775,340.54
  5. Step 5: Solve for x
    x = 75,775,340.54/8,747.68
  6. Step 6: Final answer
    x = 8,662.34

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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.