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Finding the Fourth Proportional to 11,537.64, 15,921.95 and 6,232.46

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Solution

The fourth proportional to 11,537.64, 15,921.95 and 6,232.46 is: 8,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.64 : 15,921.95 = 6,232.46 : x
  2. Step 2: Convert to fraction form
    11,537.64/15,921.95 = 6,232.46/x
  3. Step 3: Cross multiply
    11,537.64x = 15,921.95 × 6,232.46
  4. Step 4: Simplify right side
    11,537.64x = 99,232,805.72
  5. Step 5: Solve for x
    x = 99,232,805.72/11,537.64
  6. Step 6: Final answer
    x = 8,600.79

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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.