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Finding the Fourth Proportional to 7,889.95, 11,828.04 and 2,958.27

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Solution

The fourth proportional to 7,889.95, 11,828.04 and 2,958.27 is: 4,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.95 : 11,828.04 = 2,958.27 : x
  2. Step 2: Convert to fraction form
    7,889.95/11,828.04 = 2,958.27/x
  3. Step 3: Cross multiply
    7,889.95x = 11,828.04 × 2,958.27
  4. Step 4: Simplify right side
    7,889.95x = 34,990,535.89
  5. Step 5: Solve for x
    x = 34,990,535.89/7,889.95
  6. Step 6: Final answer
    x = 4,434.82

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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.