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Finding the Fourth Proportional to 8,039.82, 11,095.88 and 4,502.34

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Solution

The fourth proportional to 8,039.82, 11,095.88 and 4,502.34 is: 6,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.82 : 11,095.88 = 4,502.34 : x
  2. Step 2: Convert to fraction form
    8,039.82/11,095.88 = 4,502.34/x
  3. Step 3: Cross multiply
    8,039.82x = 11,095.88 × 4,502.34
  4. Step 4: Simplify right side
    8,039.82x = 49,957,424.36
  5. Step 5: Solve for x
    x = 49,957,424.36/8,039.82
  6. Step 6: Final answer
    x = 6,213.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.