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Finding the Fourth Proportional to 8,518.47, 11,745.42 and 5,830.98

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Solution

The fourth proportional to 8,518.47, 11,745.42 and 5,830.98 is: 8,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.47 : 11,745.42 = 5,830.98 : x
  2. Step 2: Convert to fraction form
    8,518.47/11,745.42 = 5,830.98/x
  3. Step 3: Cross multiply
    8,518.47x = 11,745.42 × 5,830.98
  4. Step 4: Simplify right side
    8,518.47x = 68,487,309.11
  5. Step 5: Solve for x
    x = 68,487,309.11/8,518.47
  6. Step 6: Final answer
    x = 8,039.86

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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.