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Finding the Fourth Proportional to 10,802.84, 16,202.89 and 4,233.63

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Solution

The fourth proportional to 10,802.84, 16,202.89 and 4,233.63 is: 6,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.84 : 16,202.89 = 4,233.63 : x
  2. Step 2: Convert to fraction form
    10,802.84/16,202.89 = 4,233.63/x
  3. Step 3: Cross multiply
    10,802.84x = 16,202.89 × 4,233.63
  4. Step 4: Simplify right side
    10,802.84x = 68,597,083.43
  5. Step 5: Solve for x
    x = 68,597,083.43/10,802.84
  6. Step 6: Final answer
    x = 6,349.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.