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Finding the Fourth Proportional to 7,971.81, 11,960.02 and 3,529.31

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Solution

The fourth proportional to 7,971.81, 11,960.02 and 3,529.31 is: 5,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.81 : 11,960.02 = 3,529.31 : x
  2. Step 2: Convert to fraction form
    7,971.81/11,960.02 = 3,529.31/x
  3. Step 3: Cross multiply
    7,971.81x = 11,960.02 × 3,529.31
  4. Step 4: Simplify right side
    7,971.81x = 42,210,618.19
  5. Step 5: Solve for x
    x = 42,210,618.19/7,971.81
  6. Step 6: Final answer
    x = 5,294.99

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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.