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Finding the Fourth Proportional to 11,933.77, 17,898.17 and 4,535.63

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Solution

The fourth proportional to 11,933.77, 17,898.17 and 4,535.63 is: 6,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.77 : 17,898.17 = 4,535.63 : x
  2. Step 2: Convert to fraction form
    11,933.77/17,898.17 = 4,535.63/x
  3. Step 3: Cross multiply
    11,933.77x = 17,898.17 × 4,535.63
  4. Step 4: Simplify right side
    11,933.77x = 81,179,476.80
  5. Step 5: Solve for x
    x = 81,179,476.80/11,933.77
  6. Step 6: Final answer
    x = 6,802.50

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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.