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Finding the Fourth Proportional to 8,413.48, 12,619.74 and 2,257

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Solution

The fourth proportional to 8,413.48, 12,619.74 and 2,257 is: 3,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.48 : 12,619.74 = 2,257 : x
  2. Step 2: Convert to fraction form
    8,413.48/12,619.74 = 2,257/x
  3. Step 3: Cross multiply
    8,413.48x = 12,619.74 × 2,257
  4. Step 4: Simplify right side
    8,413.48x = 28,482,753.18
  5. Step 5: Solve for x
    x = 28,482,753.18/8,413.48
  6. Step 6: Final answer
    x = 3,385.37

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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.