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Finding the Fourth Proportional to 11,261.69, 16,892.77 and 3,470.50

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Solution

The fourth proportional to 11,261.69, 16,892.77 and 3,470.50 is: 5,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.69 : 16,892.77 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    11,261.69/16,892.77 = 3,470.50/x
  3. Step 3: Cross multiply
    11,261.69x = 16,892.77 × 3,470.50
  4. Step 4: Simplify right side
    11,261.69x = 58,626,358.29
  5. Step 5: Solve for x
    x = 58,626,358.29/11,261.69
  6. Step 6: Final answer
    x = 5,205.82

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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.