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Finding the Fourth Proportional to 7,173.42, 10,740.16 and 5,413.11

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Solution

The fourth proportional to 7,173.42, 10,740.16 and 5,413.11 is: 8,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.42 : 10,740.16 = 5,413.11 : x
  2. Step 2: Convert to fraction form
    7,173.42/10,740.16 = 5,413.11/x
  3. Step 3: Cross multiply
    7,173.42x = 10,740.16 × 5,413.11
  4. Step 4: Simplify right side
    7,173.42x = 58,137,667.50
  5. Step 5: Solve for x
    x = 58,137,667.50/7,173.42
  6. Step 6: Final answer
    x = 8,104.60

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Why These Related Problems?

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