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Finding the Fourth Proportional to 8,515.77, 12,774.98 and 3,586.80

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Solution

The fourth proportional to 8,515.77, 12,774.98 and 3,586.80 is: 5,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.77 : 12,774.98 = 3,586.80 : x
  2. Step 2: Convert to fraction form
    8,515.77/12,774.98 = 3,586.80/x
  3. Step 3: Cross multiply
    8,515.77x = 12,774.98 × 3,586.80
  4. Step 4: Simplify right side
    8,515.77x = 45,821,298.26
  5. Step 5: Solve for x
    x = 45,821,298.26/8,515.77
  6. Step 6: Final answer
    x = 5,380.76

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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.