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Finding the Fourth Proportional to 8,377.02, 11,563 and 6,026

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Solution

The fourth proportional to 8,377.02, 11,563 and 6,026 is: 8,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.02 : 11,563 = 6,026 : x
  2. Step 2: Convert to fraction form
    8,377.02/11,563 = 6,026/x
  3. Step 3: Cross multiply
    8,377.02x = 11,563 × 6,026
  4. Step 4: Simplify right side
    8,377.02x = 69,678,638
  5. Step 5: Solve for x
    x = 69,678,638/8,377.02
  6. Step 6: Final answer
    x = 8,317.83

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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.