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Finding the Fourth Proportional to 7,870.77, 10,854.41 and 5,179.41

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Solution

The fourth proportional to 7,870.77, 10,854.41 and 5,179.41 is: 7,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.77 : 10,854.41 = 5,179.41 : x
  2. Step 2: Convert to fraction form
    7,870.77/10,854.41 = 5,179.41/x
  3. Step 3: Cross multiply
    7,870.77x = 10,854.41 × 5,179.41
  4. Step 4: Simplify right side
    7,870.77x = 56,219,413.80
  5. Step 5: Solve for x
    x = 56,219,413.80/7,870.77
  6. Step 6: Final answer
    x = 7,142.81

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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.