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Finding the Fourth Proportional to 10,561.07, 14,572.99 and 8,413.09

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Solution

The fourth proportional to 10,561.07, 14,572.99 and 8,413.09 is: 11,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.07 : 14,572.99 = 8,413.09 : x
  2. Step 2: Convert to fraction form
    10,561.07/14,572.99 = 8,413.09/x
  3. Step 3: Cross multiply
    10,561.07x = 14,572.99 × 8,413.09
  4. Step 4: Simplify right side
    10,561.07x = 122,603,871.41
  5. Step 5: Solve for x
    x = 122,603,871.41/10,561.07
  6. Step 6: Final answer
    x = 11,609.04

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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.