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Finding the Fourth Proportional to 8,538.87, 12,808.98 and 3,276.42

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Solution

The fourth proportional to 8,538.87, 12,808.98 and 3,276.42 is: 4,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.87 : 12,808.98 = 3,276.42 : x
  2. Step 2: Convert to fraction form
    8,538.87/12,808.98 = 3,276.42/x
  3. Step 3: Cross multiply
    8,538.87x = 12,808.98 × 3,276.42
  4. Step 4: Simplify right side
    8,538.87x = 41,967,598.25
  5. Step 5: Solve for x
    x = 41,967,598.25/8,538.87
  6. Step 6: Final answer
    x = 4,914.89

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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.