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Finding the Fourth Proportional to 7,413.63, 10,233.19 and 4,897.97

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Solution

The fourth proportional to 7,413.63, 10,233.19 and 4,897.97 is: 6,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.63 : 10,233.19 = 4,897.97 : x
  2. Step 2: Convert to fraction form
    7,413.63/10,233.19 = 4,897.97/x
  3. Step 3: Cross multiply
    7,413.63x = 10,233.19 × 4,897.97
  4. Step 4: Simplify right side
    7,413.63x = 50,121,823.40
  5. Step 5: Solve for x
    x = 50,121,823.40/7,413.63
  6. Step 6: Final answer
    x = 6,760.77

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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.