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Finding the Fourth Proportional to 10,704.34, 14,771.73 and 5,988.79

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Solution

The fourth proportional to 10,704.34, 14,771.73 and 5,988.79 is: 8,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.34 : 14,771.73 = 5,988.79 : x
  2. Step 2: Convert to fraction form
    10,704.34/14,771.73 = 5,988.79/x
  3. Step 3: Cross multiply
    10,704.34x = 14,771.73 × 5,988.79
  4. Step 4: Simplify right side
    10,704.34x = 88,464,788.91
  5. Step 5: Solve for x
    x = 88,464,788.91/10,704.34
  6. Step 6: Final answer
    x = 8,264.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.