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Finding the Fourth Proportional to 10,116.86, 13,958.84 and 6,137.86

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Solution

The fourth proportional to 10,116.86, 13,958.84 and 6,137.86 is: 8,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.86 : 13,958.84 = 6,137.86 : x
  2. Step 2: Convert to fraction form
    10,116.86/13,958.84 = 6,137.86/x
  3. Step 3: Cross multiply
    10,116.86x = 13,958.84 × 6,137.86
  4. Step 4: Simplify right side
    10,116.86x = 85,677,405.68
  5. Step 5: Solve for x
    x = 85,677,405.68/10,116.86
  6. Step 6: Final answer
    x = 8,468.77

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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.