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Finding the Fourth Proportional to 10,625.92, 14,663.77 and 5,910.19

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Solution

The fourth proportional to 10,625.92, 14,663.77 and 5,910.19 is: 8,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.92 : 14,663.77 = 5,910.19 : x
  2. Step 2: Convert to fraction form
    10,625.92/14,663.77 = 5,910.19/x
  3. Step 3: Cross multiply
    10,625.92x = 14,663.77 × 5,910.19
  4. Step 4: Simplify right side
    10,625.92x = 86,665,615.38
  5. Step 5: Solve for x
    x = 86,665,615.38/10,625.92
  6. Step 6: Final answer
    x = 8,156.06

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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.