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Finding the Fourth Proportional to 7,413.18, 10,229.07 and 4,760.94

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Solution

The fourth proportional to 7,413.18, 10,229.07 and 4,760.94 is: 6,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.18 : 10,229.07 = 4,760.94 : x
  2. Step 2: Convert to fraction form
    7,413.18/10,229.07 = 4,760.94/x
  3. Step 3: Cross multiply
    7,413.18x = 10,229.07 × 4,760.94
  4. Step 4: Simplify right side
    7,413.18x = 48,699,988.53
  5. Step 5: Solve for x
    x = 48,699,988.53/7,413.18
  6. Step 6: Final answer
    x = 6,569.38

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Why These Related Problems?

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