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Finding the Fourth Proportional to 11,764.92, 17,630.95 and 6,502.45

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Solution

The fourth proportional to 11,764.92, 17,630.95 and 6,502.45 is: 9,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.92 : 17,630.95 = 6,502.45 : x
  2. Step 2: Convert to fraction form
    11,764.92/17,630.95 = 6,502.45/x
  3. Step 3: Cross multiply
    11,764.92x = 17,630.95 × 6,502.45
  4. Step 4: Simplify right side
    11,764.92x = 114,644,370.83
  5. Step 5: Solve for x
    x = 114,644,370.83/11,764.92
  6. Step 6: Final answer
    x = 9,744.59

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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.