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Finding the Fourth Proportional to 11,606.76, 17,411.76 and 3,814.02

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Solution

The fourth proportional to 11,606.76, 17,411.76 and 3,814.02 is: 5,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.76 : 17,411.76 = 3,814.02 : x
  2. Step 2: Convert to fraction form
    11,606.76/17,411.76 = 3,814.02/x
  3. Step 3: Cross multiply
    11,606.76x = 17,411.76 × 3,814.02
  4. Step 4: Simplify right side
    11,606.76x = 66,408,800.88
  5. Step 5: Solve for x
    x = 66,408,800.88/11,606.76
  6. Step 6: Final answer
    x = 5,721.56

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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.