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Finding the Fourth Proportional to 8,937.29, 13,408.21 and 5,242.78

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Solution

The fourth proportional to 8,937.29, 13,408.21 and 5,242.78 is: 7,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.29 : 13,408.21 = 5,242.78 : x
  2. Step 2: Convert to fraction form
    8,937.29/13,408.21 = 5,242.78/x
  3. Step 3: Cross multiply
    8,937.29x = 13,408.21 × 5,242.78
  4. Step 4: Simplify right side
    8,937.29x = 70,296,228.37
  5. Step 5: Solve for x
    x = 70,296,228.37/8,937.29
  6. Step 6: Final answer
    x = 7,865.50

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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.