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Finding the Fourth Proportional to 11,883.70, 16,402.26 and 7,904.98

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Solution

The fourth proportional to 11,883.70, 16,402.26 and 7,904.98 is: 10,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.70 : 16,402.26 = 7,904.98 : x
  2. Step 2: Convert to fraction form
    11,883.70/16,402.26 = 7,904.98/x
  3. Step 3: Cross multiply
    11,883.70x = 16,402.26 × 7,904.98
  4. Step 4: Simplify right side
    11,883.70x = 129,659,537.25
  5. Step 5: Solve for x
    x = 129,659,537.25/11,883.70
  6. Step 6: Final answer
    x = 10,910.70

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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.