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Finding the Fourth Proportional to 11,804.53, 17,713.64 and 4,408.71

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Solution

The fourth proportional to 11,804.53, 17,713.64 and 4,408.71 is: 6,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.53 : 17,713.64 = 4,408.71 : x
  2. Step 2: Convert to fraction form
    11,804.53/17,713.64 = 4,408.71/x
  3. Step 3: Cross multiply
    11,804.53x = 17,713.64 × 4,408.71
  4. Step 4: Simplify right side
    11,804.53x = 78,094,301.80
  5. Step 5: Solve for x
    x = 78,094,301.80/11,804.53
  6. Step 6: Final answer
    x = 6,615.62

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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.