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Finding the Fourth Proportional to 7,939.04, 11,908.64 and 2,096.48

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Solution

The fourth proportional to 7,939.04, 11,908.64 and 2,096.48 is: 3,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.04 : 11,908.64 = 2,096.48 : x
  2. Step 2: Convert to fraction form
    7,939.04/11,908.64 = 2,096.48/x
  3. Step 3: Cross multiply
    7,939.04x = 11,908.64 × 2,096.48
  4. Step 4: Simplify right side
    7,939.04x = 24,966,225.59
  5. Step 5: Solve for x
    x = 24,966,225.59/7,939.04
  6. Step 6: Final answer
    x = 3,144.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.