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Finding the Fourth Proportional to 10,802.42, 16,203.08 and 4,229.81

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Solution

The fourth proportional to 10,802.42, 16,203.08 and 4,229.81 is: 6,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.42 : 16,203.08 = 4,229.81 : x
  2. Step 2: Convert to fraction form
    10,802.42/16,203.08 = 4,229.81/x
  3. Step 3: Cross multiply
    10,802.42x = 16,203.08 × 4,229.81
  4. Step 4: Simplify right side
    10,802.42x = 68,535,879.37
  5. Step 5: Solve for x
    x = 68,535,879.37/10,802.42
  6. Step 6: Final answer
    x = 6,344.50

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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.