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Finding the Fourth Proportional to 10,096.67, 15,145.07 and 3,522.83

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Solution

The fourth proportional to 10,096.67, 15,145.07 and 3,522.83 is: 5,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.67 : 15,145.07 = 3,522.83 : x
  2. Step 2: Convert to fraction form
    10,096.67/15,145.07 = 3,522.83/x
  3. Step 3: Cross multiply
    10,096.67x = 15,145.07 × 3,522.83
  4. Step 4: Simplify right side
    10,096.67x = 53,353,413.61
  5. Step 5: Solve for x
    x = 53,353,413.61/10,096.67
  6. Step 6: Final answer
    x = 5,284.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.