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Finding the Fourth Proportional to 10,413.72, 15,609.60 and 6,464.94

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Solution

The fourth proportional to 10,413.72, 15,609.60 and 6,464.94 is: 9,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.72 : 15,609.60 = 6,464.94 : x
  2. Step 2: Convert to fraction form
    10,413.72/15,609.60 = 6,464.94/x
  3. Step 3: Cross multiply
    10,413.72x = 15,609.60 × 6,464.94
  4. Step 4: Simplify right side
    10,413.72x = 100,915,127.42
  5. Step 5: Solve for x
    x = 100,915,127.42/10,413.72
  6. Step 6: Final answer
    x = 9,690.59

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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.