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Finding the Fourth Proportional to 11,402.36, 17,108.50 and 4,012.12

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Solution

The fourth proportional to 11,402.36, 17,108.50 and 4,012.12 is: 6,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.36 : 17,108.50 = 4,012.12 : x
  2. Step 2: Convert to fraction form
    11,402.36/17,108.50 = 4,012.12/x
  3. Step 3: Cross multiply
    11,402.36x = 17,108.50 × 4,012.12
  4. Step 4: Simplify right side
    11,402.36x = 68,641,355.02
  5. Step 5: Solve for x
    x = 68,641,355.02/11,402.36
  6. Step 6: Final answer
    x = 6,019.93

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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.