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Finding the Fourth Proportional to 11,627.96, 16,045.92 and 6,322.77

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Solution

The fourth proportional to 11,627.96, 16,045.92 and 6,322.77 is: 8,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.96 : 16,045.92 = 6,322.77 : x
  2. Step 2: Convert to fraction form
    11,627.96/16,045.92 = 6,322.77/x
  3. Step 3: Cross multiply
    11,627.96x = 16,045.92 × 6,322.77
  4. Step 4: Simplify right side
    11,627.96x = 101,454,661.60
  5. Step 5: Solve for x
    x = 101,454,661.60/11,627.96
  6. Step 6: Final answer
    x = 8,725.06

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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.