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Finding the Fourth Proportional to 7,413.58, 10,234.46 and 5,731.18

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Solution

The fourth proportional to 7,413.58, 10,234.46 and 5,731.18 is: 7,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.58 : 10,234.46 = 5,731.18 : x
  2. Step 2: Convert to fraction form
    7,413.58/10,234.46 = 5,731.18/x
  3. Step 3: Cross multiply
    7,413.58x = 10,234.46 × 5,731.18
  4. Step 4: Simplify right side
    7,413.58x = 58,655,532.46
  5. Step 5: Solve for x
    x = 58,655,532.46/7,413.58
  6. Step 6: Final answer
    x = 7,911.90

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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.