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Finding the Fourth Proportional to 7,800.99, 11,691.14 and 3,413.67

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Solution

The fourth proportional to 7,800.99, 11,691.14 and 3,413.67 is: 5,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.99 : 11,691.14 = 3,413.67 : x
  2. Step 2: Convert to fraction form
    7,800.99/11,691.14 = 3,413.67/x
  3. Step 3: Cross multiply
    7,800.99x = 11,691.14 × 3,413.67
  4. Step 4: Simplify right side
    7,800.99x = 39,909,676.82
  5. Step 5: Solve for x
    x = 39,909,676.82/7,800.99
  6. Step 6: Final answer
    x = 5,115.98

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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.