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Finding the Fourth Proportional to 10,802.05, 16,204.82 and 4,563

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Solution

The fourth proportional to 10,802.05, 16,204.82 and 4,563 is: 6,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.05 : 16,204.82 = 4,563 : x
  2. Step 2: Convert to fraction form
    10,802.05/16,204.82 = 4,563/x
  3. Step 3: Cross multiply
    10,802.05x = 16,204.82 × 4,563
  4. Step 4: Simplify right side
    10,802.05x = 73,942,593.66
  5. Step 5: Solve for x
    x = 73,942,593.66/10,802.05
  6. Step 6: Final answer
    x = 6,845.24

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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.