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Finding the Fourth Proportional to 10,752.67, 16,114.83 and 5,198.50

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Solution

The fourth proportional to 10,752.67, 16,114.83 and 5,198.50 is: 7,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.67 : 16,114.83 = 5,198.50 : x
  2. Step 2: Convert to fraction form
    10,752.67/16,114.83 = 5,198.50/x
  3. Step 3: Cross multiply
    10,752.67x = 16,114.83 × 5,198.50
  4. Step 4: Simplify right side
    10,752.67x = 83,772,943.76
  5. Step 5: Solve for x
    x = 83,772,943.76/10,752.67
  6. Step 6: Final answer
    x = 7,790.90

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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.