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Finding the Fourth Proportional to 10,964.70, 16,447.05 and 9,117.90

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Solution

The fourth proportional to 10,964.70, 16,447.05 and 9,117.90 is: 13,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.70 : 16,447.05 = 9,117.90 : x
  2. Step 2: Convert to fraction form
    10,964.70/16,447.05 = 9,117.90/x
  3. Step 3: Cross multiply
    10,964.70x = 16,447.05 × 9,117.90
  4. Step 4: Simplify right side
    10,964.70x = 149,962,557.20
  5. Step 5: Solve for x
    x = 149,962,557.20/10,964.70
  6. Step 6: Final answer
    x = 13,676.85

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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.