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Finding the Fourth Proportional to 10,802.70, 16,208.10 and 4,233.60

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Solution

The fourth proportional to 10,802.70, 16,208.10 and 4,233.60 is: 6,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.70 : 16,208.10 = 4,233.60 : x
  2. Step 2: Convert to fraction form
    10,802.70/16,208.10 = 4,233.60/x
  3. Step 3: Cross multiply
    10,802.70x = 16,208.10 × 4,233.60
  4. Step 4: Simplify right side
    10,802.70x = 68,618,612.16
  5. Step 5: Solve for x
    x = 68,618,612.16/10,802.70
  6. Step 6: Final answer
    x = 6,351.99

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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.