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Finding the Fourth Proportional to 11,911.70, 16,436.96 and 6,877.54

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Solution

The fourth proportional to 11,911.70, 16,436.96 and 6,877.54 is: 9,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.70 : 16,436.96 = 6,877.54 : x
  2. Step 2: Convert to fraction form
    11,911.70/16,436.96 = 6,877.54/x
  3. Step 3: Cross multiply
    11,911.70x = 16,436.96 × 6,877.54
  4. Step 4: Simplify right side
    11,911.70x = 113,045,774.40
  5. Step 5: Solve for x
    x = 113,045,774.40/11,911.70
  6. Step 6: Final answer
    x = 9,490.32

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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.