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Finding the Fourth Proportional to 10,906.25, 16,363.42 and 6,526.78

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Solution

The fourth proportional to 10,906.25, 16,363.42 and 6,526.78 is: 9,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.25 : 16,363.42 = 6,526.78 : x
  2. Step 2: Convert to fraction form
    10,906.25/16,363.42 = 6,526.78/x
  3. Step 3: Cross multiply
    10,906.25x = 16,363.42 × 6,526.78
  4. Step 4: Simplify right side
    10,906.25x = 106,800,385.16
  5. Step 5: Solve for x
    x = 106,800,385.16/10,906.25
  6. Step 6: Final answer
    x = 9,792.59

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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.