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Finding the Fourth Proportional to 10,805.18, 16,204.05 and 5,254.97

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Solution

The fourth proportional to 10,805.18, 16,204.05 and 5,254.97 is: 7,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.18 : 16,204.05 = 5,254.97 : x
  2. Step 2: Convert to fraction form
    10,805.18/16,204.05 = 5,254.97/x
  3. Step 3: Cross multiply
    10,805.18x = 16,204.05 × 5,254.97
  4. Step 4: Simplify right side
    10,805.18x = 85,151,715.61
  5. Step 5: Solve for x
    x = 85,151,715.61/10,805.18
  6. Step 6: Final answer
    x = 7,880.64

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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.