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Finding the Fourth Proportional to 11,147.50, 16,715.20 and 4,900.20

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Solution

The fourth proportional to 11,147.50, 16,715.20 and 4,900.20 is: 7,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.50 : 16,715.20 = 4,900.20 : x
  2. Step 2: Convert to fraction form
    11,147.50/16,715.20 = 4,900.20/x
  3. Step 3: Cross multiply
    11,147.50x = 16,715.20 × 4,900.20
  4. Step 4: Simplify right side
    11,147.50x = 81,907,798.54
  5. Step 5: Solve for x
    x = 81,907,798.54/11,147.50
  6. Step 6: Final answer
    x = 7,347.64

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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.