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Finding the Fourth Proportional to 11,812.92, 17,717.88 and 7,416.96

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Solution

The fourth proportional to 11,812.92, 17,717.88 and 7,416.96 is: 11,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.92 : 17,717.88 = 7,416.96 : x
  2. Step 2: Convert to fraction form
    11,812.92/17,717.88 = 7,416.96/x
  3. Step 3: Cross multiply
    11,812.92x = 17,717.88 × 7,416.96
  4. Step 4: Simplify right side
    11,812.92x = 131,412,807.24
  5. Step 5: Solve for x
    x = 131,412,807.24/11,812.92
  6. Step 6: Final answer
    x = 11,124.50

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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.