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Finding the Fourth Proportional to 10,764.72, 14,861.94 and 8,535.60

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Solution

The fourth proportional to 10,764.72, 14,861.94 and 8,535.60 is: 11,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.72 : 14,861.94 = 8,535.60 : x
  2. Step 2: Convert to fraction form
    10,764.72/14,861.94 = 8,535.60/x
  3. Step 3: Cross multiply
    10,764.72x = 14,861.94 × 8,535.60
  4. Step 4: Simplify right side
    10,764.72x = 126,855,575.06
  5. Step 5: Solve for x
    x = 126,855,575.06/10,764.72
  6. Step 6: Final answer
    x = 11,784.38

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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.