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Finding the Fourth Proportional to 11,877.64, 16,391.19 and 6,500.23

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Solution

The fourth proportional to 11,877.64, 16,391.19 and 6,500.23 is: 8,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.64 : 16,391.19 = 6,500.23 : x
  2. Step 2: Convert to fraction form
    11,877.64/16,391.19 = 6,500.23/x
  3. Step 3: Cross multiply
    11,877.64x = 16,391.19 × 6,500.23
  4. Step 4: Simplify right side
    11,877.64x = 106,546,504.97
  5. Step 5: Solve for x
    x = 106,546,504.97/11,877.64
  6. Step 6: Final answer
    x = 8,970.34

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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.