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Finding the Fourth Proportional to 10,894.96, 15,035.40 and 6,179.44

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Solution

The fourth proportional to 10,894.96, 15,035.40 and 6,179.44 is: 8,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.96 : 15,035.40 = 6,179.44 : x
  2. Step 2: Convert to fraction form
    10,894.96/15,035.40 = 6,179.44/x
  3. Step 3: Cross multiply
    10,894.96x = 15,035.40 × 6,179.44
  4. Step 4: Simplify right side
    10,894.96x = 92,910,352.18
  5. Step 5: Solve for x
    x = 92,910,352.18/10,894.96
  6. Step 6: Final answer
    x = 8,527.83

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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.