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Finding the Fourth Proportional to 11,413.38, 17,125.02 and 4,023.12

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Solution

The fourth proportional to 11,413.38, 17,125.02 and 4,023.12 is: 6,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.38 : 17,125.02 = 4,023.12 : x
  2. Step 2: Convert to fraction form
    11,413.38/17,125.02 = 4,023.12/x
  3. Step 3: Cross multiply
    11,413.38x = 17,125.02 × 4,023.12
  4. Step 4: Simplify right side
    11,413.38x = 68,896,010.46
  5. Step 5: Solve for x
    x = 68,896,010.46/11,413.38
  6. Step 6: Final answer
    x = 6,036.42

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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.