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Finding the Fourth Proportional to 10,572.15, 15,859.86 and 3,175.77

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Solution

The fourth proportional to 10,572.15, 15,859.86 and 3,175.77 is: 4,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.15 : 15,859.86 = 3,175.77 : x
  2. Step 2: Convert to fraction form
    10,572.15/15,859.86 = 3,175.77/x
  3. Step 3: Cross multiply
    10,572.15x = 15,859.86 × 3,175.77
  4. Step 4: Simplify right side
    10,572.15x = 50,367,267.59
  5. Step 5: Solve for x
    x = 50,367,267.59/10,572.15
  6. Step 6: Final answer
    x = 4,764.15

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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.