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Finding the Fourth Proportional to 10,114.86, 13,956.08 and 6,135.86

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Solution

The fourth proportional to 10,114.86, 13,956.08 and 6,135.86 is: 8,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.86 : 13,956.08 = 6,135.86 : x
  2. Step 2: Convert to fraction form
    10,114.86/13,956.08 = 6,135.86/x
  3. Step 3: Cross multiply
    10,114.86x = 13,956.08 × 6,135.86
  4. Step 4: Simplify right side
    10,114.86x = 85,632,553.03
  5. Step 5: Solve for x
    x = 85,632,553.03/10,114.86
  6. Step 6: Final answer
    x = 8,466.01

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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.