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Finding the Fourth Proportional to 8,513.28, 12,771.54 and 3,318.84

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Solution

The fourth proportional to 8,513.28, 12,771.54 and 3,318.84 is: 4,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.28 : 12,771.54 = 3,318.84 : x
  2. Step 2: Convert to fraction form
    8,513.28/12,771.54 = 3,318.84/x
  3. Step 3: Cross multiply
    8,513.28x = 12,771.54 × 3,318.84
  4. Step 4: Simplify right side
    8,513.28x = 42,386,697.81
  5. Step 5: Solve for x
    x = 42,386,697.81/8,513.28
  6. Step 6: Final answer
    x = 4,978.89

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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.