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Finding the Fourth Proportional to 7,717.92, 11,595.35 and 4,950

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Solution

The fourth proportional to 7,717.92, 11,595.35 and 4,950 is: 7,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.92 : 11,595.35 = 4,950 : x
  2. Step 2: Convert to fraction form
    7,717.92/11,595.35 = 4,950/x
  3. Step 3: Cross multiply
    7,717.92x = 11,595.35 × 4,950
  4. Step 4: Simplify right side
    7,717.92x = 57,396,957.75
  5. Step 5: Solve for x
    x = 57,396,957.75/7,717.92
  6. Step 6: Final answer
    x = 7,436.84

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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.