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Finding the Fourth Proportional to 10,805.77, 16,200.69 and 4,228.57

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Solution

The fourth proportional to 10,805.77, 16,200.69 and 4,228.57 is: 6,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.77 : 16,200.69 = 4,228.57 : x
  2. Step 2: Convert to fraction form
    10,805.77/16,200.69 = 4,228.57/x
  3. Step 3: Cross multiply
    10,805.77x = 16,200.69 × 4,228.57
  4. Step 4: Simplify right side
    10,805.77x = 68,505,751.71
  5. Step 5: Solve for x
    x = 68,505,751.71/10,805.77
  6. Step 6: Final answer
    x = 6,339.74

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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.