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Finding the Fourth Proportional to 10,754.20, 16,109.71 and 5,488.99

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Solution

The fourth proportional to 10,754.20, 16,109.71 and 5,488.99 is: 8,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.20 : 16,109.71 = 5,488.99 : x
  2. Step 2: Convert to fraction form
    10,754.20/16,109.71 = 5,488.99/x
  3. Step 3: Cross multiply
    10,754.20x = 16,109.71 × 5,488.99
  4. Step 4: Simplify right side
    10,754.20x = 88,426,037.09
  5. Step 5: Solve for x
    x = 88,426,037.09/10,754.20
  6. Step 6: Final answer
    x = 8,222.47

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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.