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Finding the Fourth Proportional to 6,135.62, 8,461.95 and 5,183.20

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Solution

The fourth proportional to 6,135.62, 8,461.95 and 5,183.20 is: 7,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.62 : 8,461.95 = 5,183.20 : x
  2. Step 2: Convert to fraction form
    6,135.62/8,461.95 = 5,183.20/x
  3. Step 3: Cross multiply
    6,135.62x = 8,461.95 × 5,183.20
  4. Step 4: Simplify right side
    6,135.62x = 43,860,030.29
  5. Step 5: Solve for x
    x = 43,860,030.29/6,135.62
  6. Step 6: Final answer
    x = 7,148.43

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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.