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Finding the Fourth Proportional to 6,813.51, 10,214.68 and 3,527.54

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Solution

The fourth proportional to 6,813.51, 10,214.68 and 3,527.54 is: 5,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.51 : 10,214.68 = 3,527.54 : x
  2. Step 2: Convert to fraction form
    6,813.51/10,214.68 = 3,527.54/x
  3. Step 3: Cross multiply
    6,813.51x = 10,214.68 × 3,527.54
  4. Step 4: Simplify right side
    6,813.51x = 36,032,692.29
  5. Step 5: Solve for x
    x = 36,032,692.29/6,813.51
  6. Step 6: Final answer
    x = 5,288.42

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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.