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Finding the Fourth Proportional to 10,279.96, 14,186.34 and 5,804.64

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Solution

The fourth proportional to 10,279.96, 14,186.34 and 5,804.64 is: 8,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.96 : 14,186.34 = 5,804.64 : x
  2. Step 2: Convert to fraction form
    10,279.96/14,186.34 = 5,804.64/x
  3. Step 3: Cross multiply
    10,279.96x = 14,186.34 × 5,804.64
  4. Step 4: Simplify right side
    10,279.96x = 82,346,596.62
  5. Step 5: Solve for x
    x = 82,346,596.62/10,279.96
  6. Step 6: Final answer
    x = 8,010.40

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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.