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Finding the Fourth Proportional to 11,722.22, 16,176.71 and 6,417.12

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Solution

The fourth proportional to 11,722.22, 16,176.71 and 6,417.12 is: 8,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.22 : 16,176.71 = 6,417.12 : x
  2. Step 2: Convert to fraction form
    11,722.22/16,176.71 = 6,417.12/x
  3. Step 3: Cross multiply
    11,722.22x = 16,176.71 × 6,417.12
  4. Step 4: Simplify right side
    11,722.22x = 103,807,965.98
  5. Step 5: Solve for x
    x = 103,807,965.98/11,722.22
  6. Step 6: Final answer
    x = 8,855.66

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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.