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Finding the Fourth Proportional to 6,113.93, 8,422.10 and 5,214.74

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Solution

The fourth proportional to 6,113.93, 8,422.10 and 5,214.74 is: 7,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.93 : 8,422.10 = 5,214.74 : x
  2. Step 2: Convert to fraction form
    6,113.93/8,422.10 = 5,214.74/x
  3. Step 3: Cross multiply
    6,113.93x = 8,422.10 × 5,214.74
  4. Step 4: Simplify right side
    6,113.93x = 43,919,032.68
  5. Step 5: Solve for x
    x = 43,919,032.68/6,113.93
  6. Step 6: Final answer
    x = 7,183.44

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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.