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Finding the Fourth Proportional to 8,609.64, 11,858.67 and 6,616.38

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Solution

The fourth proportional to 8,609.64, 11,858.67 and 6,616.38 is: 9,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.64 : 11,858.67 = 6,616.38 : x
  2. Step 2: Convert to fraction form
    8,609.64/11,858.67 = 6,616.38/x
  3. Step 3: Cross multiply
    8,609.64x = 11,858.67 × 6,616.38
  4. Step 4: Simplify right side
    8,609.64x = 78,461,467.01
  5. Step 5: Solve for x
    x = 78,461,467.01/8,609.64
  6. Step 6: Final answer
    x = 9,113.21

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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.