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Finding the Fourth Proportional to 11,881.98, 16,397.34 and 6,504.87

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Solution

The fourth proportional to 11,881.98, 16,397.34 and 6,504.87 is: 8,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.98 : 16,397.34 = 6,504.87 : x
  2. Step 2: Convert to fraction form
    11,881.98/16,397.34 = 6,504.87/x
  3. Step 3: Cross multiply
    11,881.98x = 16,397.34 × 6,504.87
  4. Step 4: Simplify right side
    11,881.98x = 106,662,565.05
  5. Step 5: Solve for x
    x = 106,662,565.05/11,881.98
  6. Step 6: Final answer
    x = 8,976.83

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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.