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Finding the Fourth Proportional to 8,751.24, 12,077.10 and 5,214.78

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Solution

The fourth proportional to 8,751.24, 12,077.10 and 5,214.78 is: 7,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.24 : 12,077.10 = 5,214.78 : x
  2. Step 2: Convert to fraction form
    8,751.24/12,077.10 = 5,214.78/x
  3. Step 3: Cross multiply
    8,751.24x = 12,077.10 × 5,214.78
  4. Step 4: Simplify right side
    8,751.24x = 62,979,419.54
  5. Step 5: Solve for x
    x = 62,979,419.54/8,751.24
  6. Step 6: Final answer
    x = 7,196.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.