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Finding the Fourth Proportional to 11,413.84, 17,097.18 and 6,719.39

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Solution

The fourth proportional to 11,413.84, 17,097.18 and 6,719.39 is: 10,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.84 : 17,097.18 = 6,719.39 : x
  2. Step 2: Convert to fraction form
    11,413.84/17,097.18 = 6,719.39/x
  3. Step 3: Cross multiply
    11,413.84x = 17,097.18 × 6,719.39
  4. Step 4: Simplify right side
    11,413.84x = 114,882,620.32
  5. Step 5: Solve for x
    x = 114,882,620.32/11,413.84
  6. Step 6: Final answer
    x = 10,065.20

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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.