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Finding the Fourth Proportional to 11,223.77, 16,834.04 and 3,430.49

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Solution

The fourth proportional to 11,223.77, 16,834.04 and 3,430.49 is: 5,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.77 : 16,834.04 = 3,430.49 : x
  2. Step 2: Convert to fraction form
    11,223.77/16,834.04 = 3,430.49/x
  3. Step 3: Cross multiply
    11,223.77x = 16,834.04 × 3,430.49
  4. Step 4: Simplify right side
    11,223.77x = 57,748,988.73
  5. Step 5: Solve for x
    x = 57,748,988.73/11,223.77
  6. Step 6: Final answer
    x = 5,145.24

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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.