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Finding the Fourth Proportional to 8,138.85, 11,231.78 and 4,602.03

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Solution

The fourth proportional to 8,138.85, 11,231.78 and 4,602.03 is: 6,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.85 : 11,231.78 = 4,602.03 : x
  2. Step 2: Convert to fraction form
    8,138.85/11,231.78 = 4,602.03/x
  3. Step 3: Cross multiply
    8,138.85x = 11,231.78 × 4,602.03
  4. Step 4: Simplify right side
    8,138.85x = 51,688,965.50
  5. Step 5: Solve for x
    x = 51,688,965.50/8,138.85
  6. Step 6: Final answer
    x = 6,350.89

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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.