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Finding the Fourth Proportional to 8,894.34, 13,334.31 and 3,704.10

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Solution

The fourth proportional to 8,894.34, 13,334.31 and 3,704.10 is: 5,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.34 : 13,334.31 = 3,704.10 : x
  2. Step 2: Convert to fraction form
    8,894.34/13,334.31 = 3,704.10/x
  3. Step 3: Cross multiply
    8,894.34x = 13,334.31 × 3,704.10
  4. Step 4: Simplify right side
    8,894.34x = 49,391,617.67
  5. Step 5: Solve for x
    x = 49,391,617.67/8,894.34
  6. Step 6: Final answer
    x = 5,553.15

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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.