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Finding the Fourth Proportional to 8,138.93, 11,231.66 and 4,602.15

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Solution

The fourth proportional to 8,138.93, 11,231.66 and 4,602.15 is: 6,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.93 : 11,231.66 = 4,602.15 : x
  2. Step 2: Convert to fraction form
    8,138.93/11,231.66 = 4,602.15/x
  3. Step 3: Cross multiply
    8,138.93x = 11,231.66 × 4,602.15
  4. Step 4: Simplify right side
    8,138.93x = 51,689,795.57
  5. Step 5: Solve for x
    x = 51,689,795.57/8,138.93
  6. Step 6: Final answer
    x = 6,350.94

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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.