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Finding the Fourth Proportional to 10,967.44, 16,443.48 and 5,120.56

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Solution

The fourth proportional to 10,967.44, 16,443.48 and 5,120.56 is: 7,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.44 : 16,443.48 = 5,120.56 : x
  2. Step 2: Convert to fraction form
    10,967.44/16,443.48 = 5,120.56/x
  3. Step 3: Cross multiply
    10,967.44x = 16,443.48 × 5,120.56
  4. Step 4: Simplify right side
    10,967.44x = 84,199,825.95
  5. Step 5: Solve for x
    x = 84,199,825.95/10,967.44
  6. Step 6: Final answer
    x = 7,677.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.