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Finding the Fourth Proportional to 7,960.64, 11,940.09 and 2,117.84

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Solution

The fourth proportional to 7,960.64, 11,940.09 and 2,117.84 is: 3,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.64 : 11,940.09 = 2,117.84 : x
  2. Step 2: Convert to fraction form
    7,960.64/11,940.09 = 2,117.84/x
  3. Step 3: Cross multiply
    7,960.64x = 11,940.09 × 2,117.84
  4. Step 4: Simplify right side
    7,960.64x = 25,287,140.51
  5. Step 5: Solve for x
    x = 25,287,140.51/7,960.64
  6. Step 6: Final answer
    x = 3,176.52

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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.