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Finding the Fourth Proportional to 7,674.16, 11,486.49 and 3,971.29

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Solution

The fourth proportional to 7,674.16, 11,486.49 and 3,971.29 is: 5,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.16 : 11,486.49 = 3,971.29 : x
  2. Step 2: Convert to fraction form
    7,674.16/11,486.49 = 3,971.29/x
  3. Step 3: Cross multiply
    7,674.16x = 11,486.49 × 3,971.29
  4. Step 4: Simplify right side
    7,674.16x = 45,616,182.87
  5. Step 5: Solve for x
    x = 45,616,182.87/7,674.16
  6. Step 6: Final answer
    x = 5,944.13

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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.