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Finding the Fourth Proportional to 10,573.44, 15,864.48 and 6,413.28

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Solution

The fourth proportional to 10,573.44, 15,864.48 and 6,413.28 is: 9,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.44 : 15,864.48 = 6,413.28 : x
  2. Step 2: Convert to fraction form
    10,573.44/15,864.48 = 6,413.28/x
  3. Step 3: Cross multiply
    10,573.44x = 15,864.48 × 6,413.28
  4. Step 4: Simplify right side
    10,573.44x = 101,743,352.29
  5. Step 5: Solve for x
    x = 101,743,352.29/10,573.44
  6. Step 6: Final answer
    x = 9,622.54

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