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Finding the Fourth Proportional to 11,798.86, 17,699.28 and 3,033.76

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Solution

The fourth proportional to 11,798.86, 17,699.28 and 3,033.76 is: 4,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.86 : 17,699.28 = 3,033.76 : x
  2. Step 2: Convert to fraction form
    11,798.86/17,699.28 = 3,033.76/x
  3. Step 3: Cross multiply
    11,798.86x = 17,699.28 × 3,033.76
  4. Step 4: Simplify right side
    11,798.86x = 53,695,367.69
  5. Step 5: Solve for x
    x = 53,695,367.69/11,798.86
  6. Step 6: Final answer
    x = 4,550.89

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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.