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Finding the Fourth Proportional to 10,704.59, 16,059.33 and 5,774.12

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Solution

The fourth proportional to 10,704.59, 16,059.33 and 5,774.12 is: 8,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.59 : 16,059.33 = 5,774.12 : x
  2. Step 2: Convert to fraction form
    10,704.59/16,059.33 = 5,774.12/x
  3. Step 3: Cross multiply
    10,704.59x = 16,059.33 × 5,774.12
  4. Step 4: Simplify right side
    10,704.59x = 92,728,538.69
  5. Step 5: Solve for x
    x = 92,728,538.69/10,704.59
  6. Step 6: Final answer
    x = 8,662.50

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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.