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Finding the Fourth Proportional to 8,367.47, 11,542.77 and 5,677.76

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Solution

The fourth proportional to 8,367.47, 11,542.77 and 5,677.76 is: 7,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.47 : 11,542.77 = 5,677.76 : x
  2. Step 2: Convert to fraction form
    8,367.47/11,542.77 = 5,677.76/x
  3. Step 3: Cross multiply
    8,367.47x = 11,542.77 × 5,677.76
  4. Step 4: Simplify right side
    8,367.47x = 65,537,106.65
  5. Step 5: Solve for x
    x = 65,537,106.65/8,367.47
  6. Step 6: Final answer
    x = 7,832.37

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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.