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Finding the Fourth Proportional to 11,222.80, 16,830.15 and 5,674.30

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Solution

The fourth proportional to 11,222.80, 16,830.15 and 5,674.30 is: 8,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.80 : 16,830.15 = 5,674.30 : x
  2. Step 2: Convert to fraction form
    11,222.80/16,830.15 = 5,674.30/x
  3. Step 3: Cross multiply
    11,222.80x = 16,830.15 × 5,674.30
  4. Step 4: Simplify right side
    11,222.80x = 95,499,320.15
  5. Step 5: Solve for x
    x = 95,499,320.15/11,222.80
  6. Step 6: Final answer
    x = 8,509.40

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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.