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Finding the Fourth Proportional to 10,575.48, 14,593.86 and 5,859.66

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Solution

The fourth proportional to 10,575.48, 14,593.86 and 5,859.66 is: 8,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.48 : 14,593.86 = 5,859.66 : x
  2. Step 2: Convert to fraction form
    10,575.48/14,593.86 = 5,859.66/x
  3. Step 3: Cross multiply
    10,575.48x = 14,593.86 × 5,859.66
  4. Step 4: Simplify right side
    10,575.48x = 85,515,057.69
  5. Step 5: Solve for x
    x = 85,515,057.69/10,575.48
  6. Step 6: Final answer
    x = 8,086.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.