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Finding the Fourth Proportional to 11,286.80, 16,901.40 and 8,349.20

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Solution

The fourth proportional to 11,286.80, 16,901.40 and 8,349.20 is: 12,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.80 : 16,901.40 = 8,349.20 : x
  2. Step 2: Convert to fraction form
    11,286.80/16,901.40 = 8,349.20/x
  3. Step 3: Cross multiply
    11,286.80x = 16,901.40 × 8,349.20
  4. Step 4: Simplify right side
    11,286.80x = 141,113,168.88
  5. Step 5: Solve for x
    x = 141,113,168.88/11,286.80
  6. Step 6: Final answer
    x = 12,502.50

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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.