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Finding the Fourth Proportional to 10,117.44, 13,958.04 and 6,137.10

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Solution

The fourth proportional to 10,117.44, 13,958.04 and 6,137.10 is: 8,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.44 : 13,958.04 = 6,137.10 : x
  2. Step 2: Convert to fraction form
    10,117.44/13,958.04 = 6,137.10/x
  3. Step 3: Cross multiply
    10,117.44x = 13,958.04 × 6,137.10
  4. Step 4: Simplify right side
    10,117.44x = 85,661,887.28
  5. Step 5: Solve for x
    x = 85,661,887.28/10,117.44
  6. Step 6: Final answer
    x = 8,466.76

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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.