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Finding the Fourth Proportional to 10,959.80, 16,440.23 and 5,342.63

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Solution

The fourth proportional to 10,959.80, 16,440.23 and 5,342.63 is: 8,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.80 : 16,440.23 = 5,342.63 : x
  2. Step 2: Convert to fraction form
    10,959.80/16,440.23 = 5,342.63/x
  3. Step 3: Cross multiply
    10,959.80x = 16,440.23 × 5,342.63
  4. Step 4: Simplify right side
    10,959.80x = 87,833,997.16
  5. Step 5: Solve for x
    x = 87,833,997.16/10,959.80
  6. Step 6: Final answer
    x = 8,014.20

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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.