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Finding the Fourth Proportional to 6,961.86, 10,435.50 and 5,110.20

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Solution

The fourth proportional to 6,961.86, 10,435.50 and 5,110.20 is: 7,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.86 : 10,435.50 = 5,110.20 : x
  2. Step 2: Convert to fraction form
    6,961.86/10,435.50 = 5,110.20/x
  3. Step 3: Cross multiply
    6,961.86x = 10,435.50 × 5,110.20
  4. Step 4: Simplify right side
    6,961.86x = 53,327,492.10
  5. Step 5: Solve for x
    x = 53,327,492.10/6,961.86
  6. Step 6: Final answer
    x = 7,659.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.