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Finding the Fourth Proportional to 7,413.40, 10,213 and 5,171.20

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Solution

The fourth proportional to 7,413.40, 10,213 and 5,171.20 is: 7,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.40 : 10,213 = 5,171.20 : x
  2. Step 2: Convert to fraction form
    7,413.40/10,213 = 5,171.20/x
  3. Step 3: Cross multiply
    7,413.40x = 10,213 × 5,171.20
  4. Step 4: Simplify right side
    7,413.40x = 52,813,465.60
  5. Step 5: Solve for x
    x = 52,813,465.60/7,413.40
  6. Step 6: Final answer
    x = 7,124.05

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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.