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Finding the Fourth Proportional to 11,537.53, 15,921.77 and 6,232.34

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Solution

The fourth proportional to 11,537.53, 15,921.77 and 6,232.34 is: 8,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.53 : 15,921.77 = 6,232.34 : x
  2. Step 2: Convert to fraction form
    11,537.53/15,921.77 = 6,232.34/x
  3. Step 3: Cross multiply
    11,537.53x = 15,921.77 × 6,232.34
  4. Step 4: Simplify right side
    11,537.53x = 99,229,939.43
  5. Step 5: Solve for x
    x = 99,229,939.43/11,537.53
  6. Step 6: Final answer
    x = 8,600.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.