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Finding the Fourth Proportional to 10,959.99, 16,442.43 and 3,169.41

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Solution

The fourth proportional to 10,959.99, 16,442.43 and 3,169.41 is: 4,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.99 : 16,442.43 = 3,169.41 : x
  2. Step 2: Convert to fraction form
    10,959.99/16,442.43 = 3,169.41/x
  3. Step 3: Cross multiply
    10,959.99x = 16,442.43 × 3,169.41
  4. Step 4: Simplify right side
    10,959.99x = 52,112,802.07
  5. Step 5: Solve for x
    x = 52,112,802.07/10,959.99
  6. Step 6: Final answer
    x = 4,754.82

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Why These Related Problems?

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