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Finding the Fourth Proportional to 11,410.29, 17,115.44 and 6,413.00

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Solution

The fourth proportional to 11,410.29, 17,115.44 and 6,413.00 is: 9,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.29 : 17,115.44 = 6,413.00 : x
  2. Step 2: Convert to fraction form
    11,410.29/17,115.44 = 6,413.00/x
  3. Step 3: Cross multiply
    11,410.29x = 17,115.44 × 6,413.00
  4. Step 4: Simplify right side
    11,410.29x = 109,761,199.08
  5. Step 5: Solve for x
    x = 109,761,199.08/11,410.29
  6. Step 6: Final answer
    x = 9,619.49

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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.