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Finding the Fourth Proportional to 6,137.15, 8,466.37 and 4,148.40

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Solution

The fourth proportional to 6,137.15, 8,466.37 and 4,148.40 is: 5,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.15 : 8,466.37 = 4,148.40 : x
  2. Step 2: Convert to fraction form
    6,137.15/8,466.37 = 4,148.40/x
  3. Step 3: Cross multiply
    6,137.15x = 8,466.37 × 4,148.40
  4. Step 4: Simplify right side
    6,137.15x = 35,121,889.31
  5. Step 5: Solve for x
    x = 35,121,889.31/6,137.15
  6. Step 6: Final answer
    x = 5,722.83

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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.