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Finding the Fourth Proportional to 10,995.50, 16,465.90 and 7,693.13

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Solution

The fourth proportional to 10,995.50, 16,465.90 and 7,693.13 is: 11,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.50 : 16,465.90 = 7,693.13 : x
  2. Step 2: Convert to fraction form
    10,995.50/16,465.90 = 7,693.13/x
  3. Step 3: Cross multiply
    10,995.50x = 16,465.90 × 7,693.13
  4. Step 4: Simplify right side
    10,995.50x = 126,674,207.70
  5. Step 5: Solve for x
    x = 126,674,207.70/10,995.50
  6. Step 6: Final answer
    x = 11,520.56

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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.