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Finding the Fourth Proportional to 13,078.78, 18,047.28 and 7,413.10

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Solution

The fourth proportional to 13,078.78, 18,047.28 and 7,413.10 is: 10,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.78 : 18,047.28 = 7,413.10 : x
  2. Step 2: Convert to fraction form
    13,078.78/18,047.28 = 7,413.10/x
  3. Step 3: Cross multiply
    13,078.78x = 18,047.28 × 7,413.10
  4. Step 4: Simplify right side
    13,078.78x = 133,786,291.37
  5. Step 5: Solve for x
    x = 133,786,291.37/13,078.78
  6. Step 6: Final answer
    x = 10,229.26

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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.