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Finding the Fourth Proportional to 8,135.86, 11,227.95 and 4,599.38

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Solution

The fourth proportional to 8,135.86, 11,227.95 and 4,599.38 is: 6,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.86 : 11,227.95 = 4,599.38 : x
  2. Step 2: Convert to fraction form
    8,135.86/11,227.95 = 4,599.38/x
  3. Step 3: Cross multiply
    8,135.86x = 11,227.95 × 4,599.38
  4. Step 4: Simplify right side
    8,135.86x = 51,641,608.67
  5. Step 5: Solve for x
    x = 51,641,608.67/8,135.86
  6. Step 6: Final answer
    x = 6,347.41

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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.