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Finding the Fourth Proportional to 10,704, 14,771.57 and 5,988.30

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Solution

The fourth proportional to 10,704, 14,771.57 and 5,988.30 is: 8,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704 : 14,771.57 = 5,988.30 : x
  2. Step 2: Convert to fraction form
    10,704/14,771.57 = 5,988.30/x
  3. Step 3: Cross multiply
    10,704x = 14,771.57 × 5,988.30
  4. Step 4: Simplify right side
    10,704x = 88,456,562.69
  5. Step 5: Solve for x
    x = 88,456,562.69/10,704
  6. Step 6: Final answer
    x = 8,263.88

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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.