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Finding the Fourth Proportional to 11,413.90, 17,120.49 and 6,765.76

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Solution

The fourth proportional to 11,413.90, 17,120.49 and 6,765.76 is: 10,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.90 : 17,120.49 = 6,765.76 : x
  2. Step 2: Convert to fraction form
    11,413.90/17,120.49 = 6,765.76/x
  3. Step 3: Cross multiply
    11,413.90x = 17,120.49 × 6,765.76
  4. Step 4: Simplify right side
    11,413.90x = 115,833,126.42
  5. Step 5: Solve for x
    x = 115,833,126.42/11,413.90
  6. Step 6: Final answer
    x = 10,148.43

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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.