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Finding the Fourth Proportional to 11,729.84, 16,187.22 and 6,424.77

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Solution

The fourth proportional to 11,729.84, 16,187.22 and 6,424.77 is: 8,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.84 : 16,187.22 = 6,424.77 : x
  2. Step 2: Convert to fraction form
    11,729.84/16,187.22 = 6,424.77/x
  3. Step 3: Cross multiply
    11,729.84x = 16,187.22 × 6,424.77
  4. Step 4: Simplify right side
    11,729.84x = 103,999,117.02
  5. Step 5: Solve for x
    x = 103,999,117.02/11,729.84
  6. Step 6: Final answer
    x = 8,866.20

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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.