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Finding the Fourth Proportional to 7,904.96, 11,857.44 and 7,423.82

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Solution

The fourth proportional to 7,904.96, 11,857.44 and 7,423.82 is: 11,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.96 : 11,857.44 = 7,423.82 : x
  2. Step 2: Convert to fraction form
    7,904.96/11,857.44 = 7,423.82/x
  3. Step 3: Cross multiply
    7,904.96x = 11,857.44 × 7,423.82
  4. Step 4: Simplify right side
    7,904.96x = 88,027,440.93
  5. Step 5: Solve for x
    x = 88,027,440.93/7,904.96
  6. Step 6: Final answer
    x = 11,135.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.