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Finding the Fourth Proportional to 8,657.20, 11,945.37 and 5,120.20

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Solution

The fourth proportional to 8,657.20, 11,945.37 and 5,120.20 is: 7,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.20 : 11,945.37 = 5,120.20 : x
  2. Step 2: Convert to fraction form
    8,657.20/11,945.37 = 5,120.20/x
  3. Step 3: Cross multiply
    8,657.20x = 11,945.37 × 5,120.20
  4. Step 4: Simplify right side
    8,657.20x = 61,162,683.47
  5. Step 5: Solve for x
    x = 61,162,683.47/8,657.20
  6. Step 6: Final answer
    x = 7,064.95

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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.