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Finding the Fourth Proportional to 10,596.82, 14,623.38 and 6,120.22

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Solution

The fourth proportional to 10,596.82, 14,623.38 and 6,120.22 is: 8,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.82 : 14,623.38 = 6,120.22 : x
  2. Step 2: Convert to fraction form
    10,596.82/14,623.38 = 6,120.22/x
  3. Step 3: Cross multiply
    10,596.82x = 14,623.38 × 6,120.22
  4. Step 4: Simplify right side
    10,596.82x = 89,498,302.74
  5. Step 5: Solve for x
    x = 89,498,302.74/10,596.82
  6. Step 6: Final answer
    x = 8,445.77

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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.