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Finding the Fourth Proportional to 11,503.91, 17,228.46 and 7,108.04

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Solution

The fourth proportional to 11,503.91, 17,228.46 and 7,108.04 is: 10,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.91 : 17,228.46 = 7,108.04 : x
  2. Step 2: Convert to fraction form
    11,503.91/17,228.46 = 7,108.04/x
  3. Step 3: Cross multiply
    11,503.91x = 17,228.46 × 7,108.04
  4. Step 4: Simplify right side
    11,503.91x = 122,460,582.82
  5. Step 5: Solve for x
    x = 122,460,582.82/11,503.91
  6. Step 6: Final answer
    x = 10,645.13

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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.