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Finding the Fourth Proportional to 8,138.62, 11,230.68 and 4,602.16

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Solution

The fourth proportional to 8,138.62, 11,230.68 and 4,602.16 is: 6,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.62 : 11,230.68 = 4,602.16 : x
  2. Step 2: Convert to fraction form
    8,138.62/11,230.68 = 4,602.16/x
  3. Step 3: Cross multiply
    8,138.62x = 11,230.68 × 4,602.16
  4. Step 4: Simplify right side
    8,138.62x = 51,685,386.27
  5. Step 5: Solve for x
    x = 51,685,386.27/8,138.62
  6. Step 6: Final answer
    x = 6,350.63

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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.