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Finding the Fourth Proportional to 10,575.77, 14,594.38 and 5,859.95

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Solution

The fourth proportional to 10,575.77, 14,594.38 and 5,859.95 is: 8,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.77 : 14,594.38 = 5,859.95 : x
  2. Step 2: Convert to fraction form
    10,575.77/14,594.38 = 5,859.95/x
  3. Step 3: Cross multiply
    10,575.77x = 14,594.38 × 5,859.95
  4. Step 4: Simplify right side
    10,575.77x = 85,522,249.46
  5. Step 5: Solve for x
    x = 85,522,249.46/10,575.77
  6. Step 6: Final answer
    x = 8,086.63

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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.