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Finding the Fourth Proportional to 11,647.95, 17,459.61 and 7,940.98

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Solution

The fourth proportional to 11,647.95, 17,459.61 and 7,940.98 is: 11,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.95 : 17,459.61 = 7,940.98 : x
  2. Step 2: Convert to fraction form
    11,647.95/17,459.61 = 7,940.98/x
  3. Step 3: Cross multiply
    11,647.95x = 17,459.61 × 7,940.98
  4. Step 4: Simplify right side
    11,647.95x = 138,646,413.82
  5. Step 5: Solve for x
    x = 138,646,413.82/11,647.95
  6. Step 6: Final answer
    x = 11,903.07

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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.