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Finding the Fourth Proportional to 11,402.99, 17,102.42 and 4,006.50

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Solution

The fourth proportional to 11,402.99, 17,102.42 and 4,006.50 is: 6,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.99 : 17,102.42 = 4,006.50 : x
  2. Step 2: Convert to fraction form
    11,402.99/17,102.42 = 4,006.50/x
  3. Step 3: Cross multiply
    11,402.99x = 17,102.42 × 4,006.50
  4. Step 4: Simplify right side
    11,402.99x = 68,520,845.73
  5. Step 5: Solve for x
    x = 68,520,845.73/11,402.99
  6. Step 6: Final answer
    x = 6,009.02

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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.