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Finding the Fourth Proportional to 6,102.68, 8,421.33 and 3,413.68

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Solution

The fourth proportional to 6,102.68, 8,421.33 and 3,413.68 is: 4,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.68 : 8,421.33 = 3,413.68 : x
  2. Step 2: Convert to fraction form
    6,102.68/8,421.33 = 3,413.68/x
  3. Step 3: Cross multiply
    6,102.68x = 8,421.33 × 3,413.68
  4. Step 4: Simplify right side
    6,102.68x = 28,747,725.79
  5. Step 5: Solve for x
    x = 28,747,725.79/6,102.68
  6. Step 6: Final answer
    x = 4,710.67

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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.