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Finding the Fourth Proportional to 11,880.30, 17,808.30 and 6,947.40

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Solution

The fourth proportional to 11,880.30, 17,808.30 and 6,947.40 is: 10,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.30 : 17,808.30 = 6,947.40 : x
  2. Step 2: Convert to fraction form
    11,880.30/17,808.30 = 6,947.40/x
  3. Step 3: Cross multiply
    11,880.30x = 17,808.30 × 6,947.40
  4. Step 4: Simplify right side
    11,880.30x = 123,721,383.42
  5. Step 5: Solve for x
    x = 123,721,383.42/11,880.30
  6. Step 6: Final answer
    x = 10,413.99

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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.