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Finding the Fourth Proportional to 10,572.86, 15,859.44 and 5,026.77

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Solution

The fourth proportional to 10,572.86, 15,859.44 and 5,026.77 is: 7,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.86 : 15,859.44 = 5,026.77 : x
  2. Step 2: Convert to fraction form
    10,572.86/15,859.44 = 5,026.77/x
  3. Step 3: Cross multiply
    10,572.86x = 15,859.44 × 5,026.77
  4. Step 4: Simplify right side
    10,572.86x = 79,721,757.21
  5. Step 5: Solve for x
    x = 79,721,757.21/10,572.86
  6. Step 6: Final answer
    x = 7,540.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.