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Finding the Fourth Proportional to 11,245, 16,868.31 and 4,319.50

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Solution

The fourth proportional to 11,245, 16,868.31 and 4,319.50 is: 6,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245 : 16,868.31 = 4,319.50 : x
  2. Step 2: Convert to fraction form
    11,245/16,868.31 = 4,319.50/x
  3. Step 3: Cross multiply
    11,245x = 16,868.31 × 4,319.50
  4. Step 4: Simplify right side
    11,245x = 72,862,665.05
  5. Step 5: Solve for x
    x = 72,862,665.05/11,245
  6. Step 6: Final answer
    x = 6,479.56

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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.