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Finding the Fourth Proportional to 11,627.46, 16,046.01 and 6,322.32

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Solution

The fourth proportional to 11,627.46, 16,046.01 and 6,322.32 is: 8,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.46 : 16,046.01 = 6,322.32 : x
  2. Step 2: Convert to fraction form
    11,627.46/16,046.01 = 6,322.32/x
  3. Step 3: Cross multiply
    11,627.46x = 16,046.01 × 6,322.32
  4. Step 4: Simplify right side
    11,627.46x = 101,448,009.94
  5. Step 5: Solve for x
    x = 101,448,009.94/11,627.46
  6. Step 6: Final answer
    x = 8,724.86

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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.