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Finding the Fourth Proportional to 8,343.26, 11,509.26 and 5,158.34

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Solution

The fourth proportional to 8,343.26, 11,509.26 and 5,158.34 is: 7,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.26 : 11,509.26 = 5,158.34 : x
  2. Step 2: Convert to fraction form
    8,343.26/11,509.26 = 5,158.34/x
  3. Step 3: Cross multiply
    8,343.26x = 11,509.26 × 5,158.34
  4. Step 4: Simplify right side
    8,343.26x = 59,368,676.23
  5. Step 5: Solve for x
    x = 59,368,676.23/8,343.26
  6. Step 6: Final answer
    x = 7,115.76

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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.