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Finding the Fourth Proportional to 8,566.43, 11,776.23 and 7,367.00

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Solution

The fourth proportional to 8,566.43, 11,776.23 and 7,367.00 is: 10,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.43 : 11,776.23 = 7,367.00 : x
  2. Step 2: Convert to fraction form
    8,566.43/11,776.23 = 7,367.00/x
  3. Step 3: Cross multiply
    8,566.43x = 11,776.23 × 7,367.00
  4. Step 4: Simplify right side
    8,566.43x = 86,755,427.53
  5. Step 5: Solve for x
    x = 86,755,427.53/8,566.43
  6. Step 6: Final answer
    x = 10,127.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.