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Finding the Fourth Proportional to 8,135.69, 11,223.21 and 5,478.49

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Solution

The fourth proportional to 8,135.69, 11,223.21 and 5,478.49 is: 7,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.69 : 11,223.21 = 5,478.49 : x
  2. Step 2: Convert to fraction form
    8,135.69/11,223.21 = 5,478.49/x
  3. Step 3: Cross multiply
    8,135.69x = 11,223.21 × 5,478.49
  4. Step 4: Simplify right side
    8,135.69x = 61,486,160.24
  5. Step 5: Solve for x
    x = 61,486,160.24/8,135.69
  6. Step 6: Final answer
    x = 7,557.58

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