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Finding the Fourth Proportional to 10,494.82, 15,703.35 and 7,723.54

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Solution

The fourth proportional to 10,494.82, 15,703.35 and 7,723.54 is: 11,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.82 : 15,703.35 = 7,723.54 : x
  2. Step 2: Convert to fraction form
    10,494.82/15,703.35 = 7,723.54/x
  3. Step 3: Cross multiply
    10,494.82x = 15,703.35 × 7,723.54
  4. Step 4: Simplify right side
    10,494.82x = 121,285,451.86
  5. Step 5: Solve for x
    x = 121,285,451.86/10,494.82
  6. Step 6: Final answer
    x = 11,556.70

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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.