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Finding the Fourth Proportional to 7,964.49, 11,951.19 and 7,472.01

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Solution

The fourth proportional to 7,964.49, 11,951.19 and 7,472.01 is: 11,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.49 : 11,951.19 = 7,472.01 : x
  2. Step 2: Convert to fraction form
    7,964.49/11,951.19 = 7,472.01/x
  3. Step 3: Cross multiply
    7,964.49x = 11,951.19 × 7,472.01
  4. Step 4: Simplify right side
    7,964.49x = 89,299,411.19
  5. Step 5: Solve for x
    x = 89,299,411.19/7,964.49
  6. Step 6: Final answer
    x = 11,212.19

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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.