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Finding the Fourth Proportional to 11,094.65, 16,624.70 and 6,982.01

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Solution

The fourth proportional to 11,094.65, 16,624.70 and 6,982.01 is: 10,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.65 : 16,624.70 = 6,982.01 : x
  2. Step 2: Convert to fraction form
    11,094.65/16,624.70 = 6,982.01/x
  3. Step 3: Cross multiply
    11,094.65x = 16,624.70 × 6,982.01
  4. Step 4: Simplify right side
    11,094.65x = 116,073,786.74
  5. Step 5: Solve for x
    x = 116,073,786.74/11,094.65
  6. Step 6: Final answer
    x = 10,462.14

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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.