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Finding the Fourth Proportional to 8,431.58, 12,647.37 and 2,275.58

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Solution

The fourth proportional to 8,431.58, 12,647.37 and 2,275.58 is: 3,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.58 : 12,647.37 = 2,275.58 : x
  2. Step 2: Convert to fraction form
    8,431.58/12,647.37 = 2,275.58/x
  3. Step 3: Cross multiply
    8,431.58x = 12,647.37 × 2,275.58
  4. Step 4: Simplify right side
    8,431.58x = 28,780,090.85
  5. Step 5: Solve for x
    x = 28,780,090.85/8,431.58
  6. Step 6: Final answer
    x = 3,413.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.