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Finding the Fourth Proportional to 11,906.05, 16,429.71 and 6,869.98

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Solution

The fourth proportional to 11,906.05, 16,429.71 and 6,869.98 is: 9,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.05 : 16,429.71 = 6,869.98 : x
  2. Step 2: Convert to fraction form
    11,906.05/16,429.71 = 6,869.98/x
  3. Step 3: Cross multiply
    11,906.05x = 16,429.71 × 6,869.98
  4. Step 4: Simplify right side
    11,906.05x = 112,871,779.11
  5. Step 5: Solve for x
    x = 112,871,779.11/11,906.05
  6. Step 6: Final answer
    x = 9,480.20

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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.