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Finding the Fourth Proportional to 10,894.18, 16,325.12 and 6,211.78

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Solution

The fourth proportional to 10,894.18, 16,325.12 and 6,211.78 is: 9,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.18 : 16,325.12 = 6,211.78 : x
  2. Step 2: Convert to fraction form
    10,894.18/16,325.12 = 6,211.78/x
  3. Step 3: Cross multiply
    10,894.18x = 16,325.12 × 6,211.78
  4. Step 4: Simplify right side
    10,894.18x = 101,408,053.91
  5. Step 5: Solve for x
    x = 101,408,053.91/10,894.18
  6. Step 6: Final answer
    x = 9,308.46

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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.