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Finding the Fourth Proportional to 8,585.16, 12,855.96 and 7,194.84

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Solution

The fourth proportional to 8,585.16, 12,855.96 and 7,194.84 is: 10,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.16 : 12,855.96 = 7,194.84 : x
  2. Step 2: Convert to fraction form
    8,585.16/12,855.96 = 7,194.84/x
  3. Step 3: Cross multiply
    8,585.16x = 12,855.96 × 7,194.84
  4. Step 4: Simplify right side
    8,585.16x = 92,496,575.25
  5. Step 5: Solve for x
    x = 92,496,575.25/8,585.16
  6. Step 6: Final answer
    x = 10,774.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.