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Finding the Fourth Proportional to 8,125.57, 11,213.29 and 4,399.57

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Solution

The fourth proportional to 8,125.57, 11,213.29 and 4,399.57 is: 6,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.57 : 11,213.29 = 4,399.57 : x
  2. Step 2: Convert to fraction form
    8,125.57/11,213.29 = 4,399.57/x
  3. Step 3: Cross multiply
    8,125.57x = 11,213.29 × 4,399.57
  4. Step 4: Simplify right side
    8,125.57x = 49,333,576.22
  5. Step 5: Solve for x
    x = 49,333,576.22/8,125.57
  6. Step 6: Final answer
    x = 6,071.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.