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Finding the Fourth Proportional to 7,900.77, 11,893.99 and 7,211.87

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Solution

The fourth proportional to 7,900.77, 11,893.99 and 7,211.87 is: 10,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.77 : 11,893.99 = 7,211.87 : x
  2. Step 2: Convert to fraction form
    7,900.77/11,893.99 = 7,211.87/x
  3. Step 3: Cross multiply
    7,900.77x = 11,893.99 × 7,211.87
  4. Step 4: Simplify right side
    7,900.77x = 85,777,814.13
  5. Step 5: Solve for x
    x = 85,777,814.13/7,900.77
  6. Step 6: Final answer
    x = 10,856.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.