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Finding the Fourth Proportional to 11,751.59, 16,217.64 and 6,715.86

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Solution

The fourth proportional to 11,751.59, 16,217.64 and 6,715.86 is: 9,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.59 : 16,217.64 = 6,715.86 : x
  2. Step 2: Convert to fraction form
    11,751.59/16,217.64 = 6,715.86/x
  3. Step 3: Cross multiply
    11,751.59x = 16,217.64 × 6,715.86
  4. Step 4: Simplify right side
    11,751.59x = 108,915,399.77
  5. Step 5: Solve for x
    x = 108,915,399.77/11,751.59
  6. Step 6: Final answer
    x = 9,268.14

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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.