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Finding the Fourth Proportional to 10,836.72, 16,268.04 and 6,456.24

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Solution

The fourth proportional to 10,836.72, 16,268.04 and 6,456.24 is: 9,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.72 : 16,268.04 = 6,456.24 : x
  2. Step 2: Convert to fraction form
    10,836.72/16,268.04 = 6,456.24/x
  3. Step 3: Cross multiply
    10,836.72x = 16,268.04 × 6,456.24
  4. Step 4: Simplify right side
    10,836.72x = 105,030,370.57
  5. Step 5: Solve for x
    x = 105,030,370.57/10,836.72
  6. Step 6: Final answer
    x = 9,692.08

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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.