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Finding the Fourth Proportional to 11,722.68, 16,177.78 and 6,417.96

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Solution

The fourth proportional to 11,722.68, 16,177.78 and 6,417.96 is: 8,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.68 : 16,177.78 = 6,417.96 : x
  2. Step 2: Convert to fraction form
    11,722.68/16,177.78 = 6,417.96/x
  3. Step 3: Cross multiply
    11,722.68x = 16,177.78 × 6,417.96
  4. Step 4: Simplify right side
    11,722.68x = 103,828,344.93
  5. Step 5: Solve for x
    x = 103,828,344.93/11,722.68
  6. Step 6: Final answer
    x = 8,857.05

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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.