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Finding the Fourth Proportional to 10,413.76, 15,623.38 and 3,840.01

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Solution

The fourth proportional to 10,413.76, 15,623.38 and 3,840.01 is: 5,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.76 : 15,623.38 = 3,840.01 : x
  2. Step 2: Convert to fraction form
    10,413.76/15,623.38 = 3,840.01/x
  3. Step 3: Cross multiply
    10,413.76x = 15,623.38 × 3,840.01
  4. Step 4: Simplify right side
    10,413.76x = 59,993,935.43
  5. Step 5: Solve for x
    x = 59,993,935.43/10,413.76
  6. Step 6: Final answer
    x = 5,761.03

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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.