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Finding the Fourth Proportional to 11,757.71, 17,636.38 and 4,737.56

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Solution

The fourth proportional to 11,757.71, 17,636.38 and 4,737.56 is: 7,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.71 : 17,636.38 = 4,737.56 : x
  2. Step 2: Convert to fraction form
    11,757.71/17,636.38 = 4,737.56/x
  3. Step 3: Cross multiply
    11,757.71x = 17,636.38 × 4,737.56
  4. Step 4: Simplify right side
    11,757.71x = 83,553,296.56
  5. Step 5: Solve for x
    x = 83,553,296.56/11,757.71
  6. Step 6: Final answer
    x = 7,106.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.