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Finding the Fourth Proportional to 11,537.65, 15,921.97 and 6,232.47

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Solution

The fourth proportional to 11,537.65, 15,921.97 and 6,232.47 is: 8,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.65 : 15,921.97 = 6,232.47 : x
  2. Step 2: Convert to fraction form
    11,537.65/15,921.97 = 6,232.47/x
  3. Step 3: Cross multiply
    11,537.65x = 15,921.97 × 6,232.47
  4. Step 4: Simplify right side
    11,537.65x = 99,233,200.37
  5. Step 5: Solve for x
    x = 99,233,200.37/11,537.65
  6. Step 6: Final answer
    x = 8,600.82

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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.