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Finding the Fourth Proportional to 6,511.72, 8,990.58 and 5,188.36

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Solution

The fourth proportional to 6,511.72, 8,990.58 and 5,188.36 is: 7,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.72 : 8,990.58 = 5,188.36 : x
  2. Step 2: Convert to fraction form
    6,511.72/8,990.58 = 5,188.36/x
  3. Step 3: Cross multiply
    6,511.72x = 8,990.58 × 5,188.36
  4. Step 4: Simplify right side
    6,511.72x = 46,646,365.65
  5. Step 5: Solve for x
    x = 46,646,365.65/6,511.72
  6. Step 6: Final answer
    x = 7,163.45

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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.