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Finding the Fourth Proportional to 8,596.48, 11,861.34 and 5,616.70

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Solution

The fourth proportional to 8,596.48, 11,861.34 and 5,616.70 is: 7,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.48 : 11,861.34 = 5,616.70 : x
  2. Step 2: Convert to fraction form
    8,596.48/11,861.34 = 5,616.70/x
  3. Step 3: Cross multiply
    8,596.48x = 11,861.34 × 5,616.70
  4. Step 4: Simplify right side
    8,596.48x = 66,621,588.38
  5. Step 5: Solve for x
    x = 66,621,588.38/8,596.48
  6. Step 6: Final answer
    x = 7,749.87

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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.