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Finding the Fourth Proportional to 10,901.68, 16,349.26 and 3,880.44

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Solution

The fourth proportional to 10,901.68, 16,349.26 and 3,880.44 is: 5,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.68 : 16,349.26 = 3,880.44 : x
  2. Step 2: Convert to fraction form
    10,901.68/16,349.26 = 3,880.44/x
  3. Step 3: Cross multiply
    10,901.68x = 16,349.26 × 3,880.44
  4. Step 4: Simplify right side
    10,901.68x = 63,442,322.47
  5. Step 5: Solve for x
    x = 63,442,322.47/10,901.68
  6. Step 6: Final answer
    x = 5,819.50

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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.