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Finding the Fourth Proportional to 11,449.75, 15,801.24 and 6,413.67

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Solution

The fourth proportional to 11,449.75, 15,801.24 and 6,413.67 is: 8,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.75 : 15,801.24 = 6,413.67 : x
  2. Step 2: Convert to fraction form
    11,449.75/15,801.24 = 6,413.67/x
  3. Step 3: Cross multiply
    11,449.75x = 15,801.24 × 6,413.67
  4. Step 4: Simplify right side
    11,449.75x = 101,343,938.95
  5. Step 5: Solve for x
    x = 101,343,938.95/11,449.75
  6. Step 6: Final answer
    x = 8,851.20

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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.