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Finding the Fourth Proportional to 11,757.24, 17,642.64 and 4,737.87

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Solution

The fourth proportional to 11,757.24, 17,642.64 and 4,737.87 is: 7,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.24 : 17,642.64 = 4,737.87 : x
  2. Step 2: Convert to fraction form
    11,757.24/17,642.64 = 4,737.87/x
  3. Step 3: Cross multiply
    11,757.24x = 17,642.64 × 4,737.87
  4. Step 4: Simplify right side
    11,757.24x = 83,588,534.78
  5. Step 5: Solve for x
    x = 83,588,534.78/11,757.24
  6. Step 6: Final answer
    x = 7,109.54

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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.