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Finding the Fourth Proportional to 11,202.86, 16,802.34 and 4,182.13

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Solution

The fourth proportional to 11,202.86, 16,802.34 and 4,182.13 is: 6,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.86 : 16,802.34 = 4,182.13 : x
  2. Step 2: Convert to fraction form
    11,202.86/16,802.34 = 4,182.13/x
  3. Step 3: Cross multiply
    11,202.86x = 16,802.34 × 4,182.13
  4. Step 4: Simplify right side
    11,202.86x = 70,269,575.50
  5. Step 5: Solve for x
    x = 70,269,575.50/11,202.86
  6. Step 6: Final answer
    x = 6,272.47

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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.