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Finding the Fourth Proportional to 11,646.75, 16,072.81 and 6,341.86

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Solution

The fourth proportional to 11,646.75, 16,072.81 and 6,341.86 is: 8,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.75 : 16,072.81 = 6,341.86 : x
  2. Step 2: Convert to fraction form
    11,646.75/16,072.81 = 6,341.86/x
  3. Step 3: Cross multiply
    11,646.75x = 16,072.81 × 6,341.86
  4. Step 4: Simplify right side
    11,646.75x = 101,931,494.97
  5. Step 5: Solve for x
    x = 101,931,494.97/11,646.75
  6. Step 6: Final answer
    x = 8,751.92

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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.