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Finding the Fourth Proportional to 10,761.45, 14,849.99 and 6,044.82

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Solution

The fourth proportional to 10,761.45, 14,849.99 and 6,044.82 is: 8,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.45 : 14,849.99 = 6,044.82 : x
  2. Step 2: Convert to fraction form
    10,761.45/14,849.99 = 6,044.82/x
  3. Step 3: Cross multiply
    10,761.45x = 14,849.99 × 6,044.82
  4. Step 4: Simplify right side
    10,761.45x = 89,765,486.33
  5. Step 5: Solve for x
    x = 89,765,486.33/10,761.45
  6. Step 6: Final answer
    x = 8,341.39

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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.