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Finding the Fourth Proportional to 8,588.62, 11,852.58 and 8,194.96

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Solution

The fourth proportional to 8,588.62, 11,852.58 and 8,194.96 is: 11,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.62 : 11,852.58 = 8,194.96 : x
  2. Step 2: Convert to fraction form
    8,588.62/11,852.58 = 8,194.96/x
  3. Step 3: Cross multiply
    8,588.62x = 11,852.58 × 8,194.96
  4. Step 4: Simplify right side
    8,588.62x = 97,131,420.10
  5. Step 5: Solve for x
    x = 97,131,420.10/8,588.62
  6. Step 6: Final answer
    x = 11,309.32

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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.