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Finding the Fourth Proportional to 11,413.57, 15,742.39 and 7,630.09

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Solution

The fourth proportional to 11,413.57, 15,742.39 and 7,630.09 is: 10,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.57 : 15,742.39 = 7,630.09 : x
  2. Step 2: Convert to fraction form
    11,413.57/15,742.39 = 7,630.09/x
  3. Step 3: Cross multiply
    11,413.57x = 15,742.39 × 7,630.09
  4. Step 4: Simplify right side
    11,413.57x = 120,115,852.52
  5. Step 5: Solve for x
    x = 120,115,852.52/11,413.57
  6. Step 6: Final answer
    x = 10,523.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.