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Finding the Fourth Proportional to 7,884.67, 10,870.86 and 5,195.47

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Solution

The fourth proportional to 7,884.67, 10,870.86 and 5,195.47 is: 7,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.67 : 10,870.86 = 5,195.47 : x
  2. Step 2: Convert to fraction form
    7,884.67/10,870.86 = 5,195.47/x
  3. Step 3: Cross multiply
    7,884.67x = 10,870.86 × 5,195.47
  4. Step 4: Simplify right side
    7,884.67x = 56,479,227.00
  5. Step 5: Solve for x
    x = 56,479,227.00/7,884.67
  6. Step 6: Final answer
    x = 7,163.17

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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.