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Finding the Fourth Proportional to 11,930.92, 16,459.95 and 6,894.21

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Solution

The fourth proportional to 11,930.92, 16,459.95 and 6,894.21 is: 9,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.92 : 16,459.95 = 6,894.21 : x
  2. Step 2: Convert to fraction form
    11,930.92/16,459.95 = 6,894.21/x
  3. Step 3: Cross multiply
    11,930.92x = 16,459.95 × 6,894.21
  4. Step 4: Simplify right side
    11,930.92x = 113,478,351.89
  5. Step 5: Solve for x
    x = 113,478,351.89/11,930.92
  6. Step 6: Final answer
    x = 9,511.28

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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.