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Finding the Fourth Proportional to 12,704.46, 19,058.46 and 5,307.22

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Solution

The fourth proportional to 12,704.46, 19,058.46 and 5,307.22 is: 7,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.46 : 19,058.46 = 5,307.22 : x
  2. Step 2: Convert to fraction form
    12,704.46/19,058.46 = 5,307.22/x
  3. Step 3: Cross multiply
    12,704.46x = 19,058.46 × 5,307.22
  4. Step 4: Simplify right side
    12,704.46x = 101,147,440.08
  5. Step 5: Solve for x
    x = 101,147,440.08/12,704.46
  6. Step 6: Final answer
    x = 7,961.57

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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.