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Finding the Fourth Proportional to 12,117.62, 18,145.44 and 7,190.79

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Solution

The fourth proportional to 12,117.62, 18,145.44 and 7,190.79 is: 10,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.62 : 18,145.44 = 7,190.79 : x
  2. Step 2: Convert to fraction form
    12,117.62/18,145.44 = 7,190.79/x
  3. Step 3: Cross multiply
    12,117.62x = 18,145.44 × 7,190.79
  4. Step 4: Simplify right side
    12,117.62x = 130,480,048.50
  5. Step 5: Solve for x
    x = 130,480,048.50/12,117.62
  6. Step 6: Final answer
    x = 10,767.80

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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.