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Finding the Fourth Proportional to 8,543.82, 11,782.23 and 7,596.78

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Solution

The fourth proportional to 8,543.82, 11,782.23 and 7,596.78 is: 10,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.82 : 11,782.23 = 7,596.78 : x
  2. Step 2: Convert to fraction form
    8,543.82/11,782.23 = 7,596.78/x
  3. Step 3: Cross multiply
    8,543.82x = 11,782.23 × 7,596.78
  4. Step 4: Simplify right side
    8,543.82x = 89,507,009.22
  5. Step 5: Solve for x
    x = 89,507,009.22/8,543.82
  6. Step 6: Final answer
    x = 10,476.23

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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.