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Finding the Fourth Proportional to 8,413.40, 12,617.34 and 4,462.34

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Solution

The fourth proportional to 8,413.40, 12,617.34 and 4,462.34 is: 6,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.40 : 12,617.34 = 4,462.34 : x
  2. Step 2: Convert to fraction form
    8,413.40/12,617.34 = 4,462.34/x
  3. Step 3: Cross multiply
    8,413.40x = 12,617.34 × 4,462.34
  4. Step 4: Simplify right side
    8,413.40x = 56,302,860.98
  5. Step 5: Solve for x
    x = 56,302,860.98/8,413.40
  6. Step 6: Final answer
    x = 6,692.05

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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.