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Finding the Fourth Proportional to 11,607.12, 17,413.27 and 4,211.42

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Solution

The fourth proportional to 11,607.12, 17,413.27 and 4,211.42 is: 6,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.12 : 17,413.27 = 4,211.42 : x
  2. Step 2: Convert to fraction form
    11,607.12/17,413.27 = 4,211.42/x
  3. Step 3: Cross multiply
    11,607.12x = 17,413.27 × 4,211.42
  4. Step 4: Simplify right side
    11,607.12x = 73,334,539.00
  5. Step 5: Solve for x
    x = 73,334,539.00/11,607.12
  6. Step 6: Final answer
    x = 6,318.06

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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.