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Finding the Fourth Proportional to 10,704.33, 14,771.91 and 5,988.60

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Solution

The fourth proportional to 10,704.33, 14,771.91 and 5,988.60 is: 8,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.33 : 14,771.91 = 5,988.60 : x
  2. Step 2: Convert to fraction form
    10,704.33/14,771.91 = 5,988.60/x
  3. Step 3: Cross multiply
    10,704.33x = 14,771.91 × 5,988.60
  4. Step 4: Simplify right side
    10,704.33x = 88,463,060.23
  5. Step 5: Solve for x
    x = 88,463,060.23/10,704.33
  6. Step 6: Final answer
    x = 8,264.23

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