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Finding the Fourth Proportional to 8,665.32, 11,945.70 and 6,177

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Solution

The fourth proportional to 8,665.32, 11,945.70 and 6,177 is: 8,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.32 : 11,945.70 = 6,177 : x
  2. Step 2: Convert to fraction form
    8,665.32/11,945.70 = 6,177/x
  3. Step 3: Cross multiply
    8,665.32x = 11,945.70 × 6,177
  4. Step 4: Simplify right side
    8,665.32x = 73,788,588.90
  5. Step 5: Solve for x
    x = 73,788,588.90/8,665.32
  6. Step 6: Final answer
    x = 8,515.39

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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.