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Finding the Fourth Proportional to 10,364.82, 14,303.43 and 5,649.09

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Solution

The fourth proportional to 10,364.82, 14,303.43 and 5,649.09 is: 7,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.82 : 14,303.43 = 5,649.09 : x
  2. Step 2: Convert to fraction form
    10,364.82/14,303.43 = 5,649.09/x
  3. Step 3: Cross multiply
    10,364.82x = 14,303.43 × 5,649.09
  4. Step 4: Simplify right side
    10,364.82x = 80,801,363.38
  5. Step 5: Solve for x
    x = 80,801,363.38/10,364.82
  6. Step 6: Final answer
    x = 7,795.73

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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.