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Finding the Fourth Proportional to 11,723.27, 16,177.86 and 6,417.90

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Solution

The fourth proportional to 11,723.27, 16,177.86 and 6,417.90 is: 8,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.27 : 16,177.86 = 6,417.90 : x
  2. Step 2: Convert to fraction form
    11,723.27/16,177.86 = 6,417.90/x
  3. Step 3: Cross multiply
    11,723.27x = 16,177.86 × 6,417.90
  4. Step 4: Simplify right side
    11,723.27x = 103,827,887.69
  5. Step 5: Solve for x
    x = 103,827,887.69/11,723.27
  6. Step 6: Final answer
    x = 8,856.57

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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.