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Finding the Fourth Proportional to 11,849.79, 17,762.06 and 8,919.03

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Solution

The fourth proportional to 11,849.79, 17,762.06 and 8,919.03 is: 13,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.79 : 17,762.06 = 8,919.03 : x
  2. Step 2: Convert to fraction form
    11,849.79/17,762.06 = 8,919.03/x
  3. Step 3: Cross multiply
    11,849.79x = 17,762.06 × 8,919.03
  4. Step 4: Simplify right side
    11,849.79x = 158,420,301.41
  5. Step 5: Solve for x
    x = 158,420,301.41/11,849.79
  6. Step 6: Final answer
    x = 13,369.04

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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.