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Finding the Fourth Proportional to 34,758.36, 52,137 and 8,463.06

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Solution

The fourth proportional to 34,758.36, 52,137 and 8,463.06 is: 12,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,758.36 : 52,137 = 8,463.06 : x
  2. Step 2: Convert to fraction form
    34,758.36/52,137 = 8,463.06/x
  3. Step 3: Cross multiply
    34,758.36x = 52,137 × 8,463.06
  4. Step 4: Simplify right side
    34,758.36x = 441,238,559.22
  5. Step 5: Solve for x
    x = 441,238,559.22/34,758.36
  6. Step 6: Final answer
    x = 12,694.46

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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.