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Finding the Fourth Proportional to 11,262.68, 16,894.26 and 3,471.50

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Solution

The fourth proportional to 11,262.68, 16,894.26 and 3,471.50 is: 5,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.68 : 16,894.26 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    11,262.68/16,894.26 = 3,471.50/x
  3. Step 3: Cross multiply
    11,262.68x = 16,894.26 × 3,471.50
  4. Step 4: Simplify right side
    11,262.68x = 58,648,423.59
  5. Step 5: Solve for x
    x = 58,648,423.59/11,262.68
  6. Step 6: Final answer
    x = 5,207.32

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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.