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Finding the Fourth Proportional to 8,413.93, 12,620.44 and 2,570.09

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Solution

The fourth proportional to 8,413.93, 12,620.44 and 2,570.09 is: 3,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.93 : 12,620.44 = 2,570.09 : x
  2. Step 2: Convert to fraction form
    8,413.93/12,620.44 = 2,570.09/x
  3. Step 3: Cross multiply
    8,413.93x = 12,620.44 × 2,570.09
  4. Step 4: Simplify right side
    8,413.93x = 32,435,666.64
  5. Step 5: Solve for x
    x = 32,435,666.64/8,413.93
  6. Step 6: Final answer
    x = 3,855.00

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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.