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Finding the Fourth Proportional to 11,905.15, 16,428.98 and 6,869.31

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Solution

The fourth proportional to 11,905.15, 16,428.98 and 6,869.31 is: 9,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.15 : 16,428.98 = 6,869.31 : x
  2. Step 2: Convert to fraction form
    11,905.15/16,428.98 = 6,869.31/x
  3. Step 3: Cross multiply
    11,905.15x = 16,428.98 × 6,869.31
  4. Step 4: Simplify right side
    11,905.15x = 112,855,756.60
  5. Step 5: Solve for x
    x = 112,855,756.60/11,905.15
  6. Step 6: Final answer
    x = 9,479.57

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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.