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Finding the Fourth Proportional to 7,967.86, 10,995.81 and 4,432.21

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Solution

The fourth proportional to 7,967.86, 10,995.81 and 4,432.21 is: 6,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.86 : 10,995.81 = 4,432.21 : x
  2. Step 2: Convert to fraction form
    7,967.86/10,995.81 = 4,432.21/x
  3. Step 3: Cross multiply
    7,967.86x = 10,995.81 × 4,432.21
  4. Step 4: Simplify right side
    7,967.86x = 48,735,739.04
  5. Step 5: Solve for x
    x = 48,735,739.04/7,967.86
  6. Step 6: Final answer
    x = 6,116.54

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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.