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Finding the Fourth Proportional to 7,365.23, 10,163.77 and 4,178.82

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Solution

The fourth proportional to 7,365.23, 10,163.77 and 4,178.82 is: 5,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.23 : 10,163.77 = 4,178.82 : x
  2. Step 2: Convert to fraction form
    7,365.23/10,163.77 = 4,178.82/x
  3. Step 3: Cross multiply
    7,365.23x = 10,163.77 × 4,178.82
  4. Step 4: Simplify right side
    7,365.23x = 42,472,565.35
  5. Step 5: Solve for x
    x = 42,472,565.35/7,365.23
  6. Step 6: Final answer
    x = 5,766.63

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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.