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Finding the Fourth Proportional to 7,413.72, 10,223.17 and 4,758.94

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Solution

The fourth proportional to 7,413.72, 10,223.17 and 4,758.94 is: 6,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.72 : 10,223.17 = 4,758.94 : x
  2. Step 2: Convert to fraction form
    7,413.72/10,223.17 = 4,758.94/x
  3. Step 3: Cross multiply
    7,413.72x = 10,223.17 × 4,758.94
  4. Step 4: Simplify right side
    7,413.72x = 48,651,452.64
  5. Step 5: Solve for x
    x = 48,651,452.64/7,413.72
  6. Step 6: Final answer
    x = 6,562.35

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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.