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Finding the Fourth Proportional to 8,378, 12,572.76 and 2,906

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Solution

The fourth proportional to 8,378, 12,572.76 and 2,906 is: 4,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 12,572.76 = 2,906 : x
  2. Step 2: Convert to fraction form
    8,378/12,572.76 = 2,906/x
  3. Step 3: Cross multiply
    8,378x = 12,572.76 × 2,906
  4. Step 4: Simplify right side
    8,378x = 36,536,440.56
  5. Step 5: Solve for x
    x = 36,536,440.56/8,378
  6. Step 6: Final answer
    x = 4,361.00

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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.