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Finding the Fourth Proportional to 11,630.30, 16,050.16 and 6,325.46

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Solution

The fourth proportional to 11,630.30, 16,050.16 and 6,325.46 is: 8,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.30 : 16,050.16 = 6,325.46 : x
  2. Step 2: Convert to fraction form
    11,630.30/16,050.16 = 6,325.46/x
  3. Step 3: Cross multiply
    11,630.30x = 16,050.16 × 6,325.46
  4. Step 4: Simplify right side
    11,630.30x = 101,524,645.07
  5. Step 5: Solve for x
    x = 101,524,645.07/11,630.30
  6. Step 6: Final answer
    x = 8,729.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.