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Finding the Fourth Proportional to 7,413.78, 10,232.01 and 4,184.25

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Solution

The fourth proportional to 7,413.78, 10,232.01 and 4,184.25 is: 5,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.78 : 10,232.01 = 4,184.25 : x
  2. Step 2: Convert to fraction form
    7,413.78/10,232.01 = 4,184.25/x
  3. Step 3: Cross multiply
    7,413.78x = 10,232.01 × 4,184.25
  4. Step 4: Simplify right side
    7,413.78x = 42,813,287.84
  5. Step 5: Solve for x
    x = 42,813,287.84/7,413.78
  6. Step 6: Final answer
    x = 5,774.83

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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.