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Finding the Fourth Proportional to 7,588.68, 10,467.24 and 6,592.22

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Solution

The fourth proportional to 7,588.68, 10,467.24 and 6,592.22 is: 9,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.68 : 10,467.24 = 6,592.22 : x
  2. Step 2: Convert to fraction form
    7,588.68/10,467.24 = 6,592.22/x
  3. Step 3: Cross multiply
    7,588.68x = 10,467.24 × 6,592.22
  4. Step 4: Simplify right side
    7,588.68x = 69,002,348.87
  5. Step 5: Solve for x
    x = 69,002,348.87/7,588.68
  6. Step 6: Final answer
    x = 9,092.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.