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Finding the Fourth Proportional to 7,892.66, 11,835.34 and 2,958.77

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Solution

The fourth proportional to 7,892.66, 11,835.34 and 2,958.77 is: 4,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.66 : 11,835.34 = 2,958.77 : x
  2. Step 2: Convert to fraction form
    7,892.66/11,835.34 = 2,958.77/x
  3. Step 3: Cross multiply
    7,892.66x = 11,835.34 × 2,958.77
  4. Step 4: Simplify right side
    7,892.66x = 35,018,048.93
  5. Step 5: Solve for x
    x = 35,018,048.93/7,892.66
  6. Step 6: Final answer
    x = 4,436.79

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Why These Related Problems?

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