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Finding the Fourth Proportional to 11,423, 17,135.86 and 4,025.92

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Solution

The fourth proportional to 11,423, 17,135.86 and 4,025.92 is: 6,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423 : 17,135.86 = 4,025.92 : x
  2. Step 2: Convert to fraction form
    11,423/17,135.86 = 4,025.92/x
  3. Step 3: Cross multiply
    11,423x = 17,135.86 × 4,025.92
  4. Step 4: Simplify right side
    11,423x = 68,987,601.49
  5. Step 5: Solve for x
    x = 68,987,601.49/11,423
  6. Step 6: Final answer
    x = 6,039.36

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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.