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Finding the Fourth Proportional to 11,011.46, 16,502.57 and 6,000.97

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Solution

The fourth proportional to 11,011.46, 16,502.57 and 6,000.97 is: 8,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.46 : 16,502.57 = 6,000.97 : x
  2. Step 2: Convert to fraction form
    11,011.46/16,502.57 = 6,000.97/x
  3. Step 3: Cross multiply
    11,011.46x = 16,502.57 × 6,000.97
  4. Step 4: Simplify right side
    11,011.46x = 99,031,409.68
  5. Step 5: Solve for x
    x = 99,031,409.68/11,011.46
  6. Step 6: Final answer
    x = 8,993.49

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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.