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Finding the Fourth Proportional to 7,647.21, 10,553.31 and 5,413.10

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Solution

The fourth proportional to 7,647.21, 10,553.31 and 5,413.10 is: 7,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.21 : 10,553.31 = 5,413.10 : x
  2. Step 2: Convert to fraction form
    7,647.21/10,553.31 = 5,413.10/x
  3. Step 3: Cross multiply
    7,647.21x = 10,553.31 × 5,413.10
  4. Step 4: Simplify right side
    7,647.21x = 57,126,069.59
  5. Step 5: Solve for x
    x = 57,126,069.59/7,647.21
  6. Step 6: Final answer
    x = 7,470.18

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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.