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Finding the Fourth Proportional to 8,281.38, 12,413.76 and 4,114.98

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Solution

The fourth proportional to 8,281.38, 12,413.76 and 4,114.98 is: 6,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.38 : 12,413.76 = 4,114.98 : x
  2. Step 2: Convert to fraction form
    8,281.38/12,413.76 = 4,114.98/x
  3. Step 3: Cross multiply
    8,281.38x = 12,413.76 × 4,114.98
  4. Step 4: Simplify right side
    8,281.38x = 51,082,374.12
  5. Step 5: Solve for x
    x = 51,082,374.12/8,281.38
  6. Step 6: Final answer
    x = 6,168.34

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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.