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Finding the Fourth Proportional to 7,413.58, 10,224.90 and 4,761.16

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Solution

The fourth proportional to 7,413.58, 10,224.90 and 4,761.16 is: 6,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.58 : 10,224.90 = 4,761.16 : x
  2. Step 2: Convert to fraction form
    7,413.58/10,224.90 = 4,761.16/x
  3. Step 3: Cross multiply
    7,413.58x = 10,224.90 × 4,761.16
  4. Step 4: Simplify right side
    7,413.58x = 48,682,384.88
  5. Step 5: Solve for x
    x = 48,682,384.88/7,413.58
  6. Step 6: Final answer
    x = 6,566.65

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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.