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Finding the Fourth Proportional to 11,653.58, 16,046.97 and 10,439.86

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Solution

The fourth proportional to 11,653.58, 16,046.97 and 10,439.86 is: 14,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.58 : 16,046.97 = 10,439.86 : x
  2. Step 2: Convert to fraction form
    11,653.58/16,046.97 = 10,439.86/x
  3. Step 3: Cross multiply
    11,653.58x = 16,046.97 × 10,439.86
  4. Step 4: Simplify right side
    11,653.58x = 167,528,120.22
  5. Step 5: Solve for x
    x = 167,528,120.22/11,653.58
  6. Step 6: Final answer
    x = 14,375.68

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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.