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Finding the Fourth Proportional to 8,540.84, 12,811.65 and 2,617.30

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Solution

The fourth proportional to 8,540.84, 12,811.65 and 2,617.30 is: 3,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.84 : 12,811.65 = 2,617.30 : x
  2. Step 2: Convert to fraction form
    8,540.84/12,811.65 = 2,617.30/x
  3. Step 3: Cross multiply
    8,540.84x = 12,811.65 × 2,617.30
  4. Step 4: Simplify right side
    8,540.84x = 33,531,931.55
  5. Step 5: Solve for x
    x = 33,531,931.55/8,540.84
  6. Step 6: Final answer
    x = 3,926.07

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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.