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Finding the Fourth Proportional to 8,501.28, 12,727.88 and 5,722.44

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Solution

The fourth proportional to 8,501.28, 12,727.88 and 5,722.44 is: 8,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.28 : 12,727.88 = 5,722.44 : x
  2. Step 2: Convert to fraction form
    8,501.28/12,727.88 = 5,722.44/x
  3. Step 3: Cross multiply
    8,501.28x = 12,727.88 × 5,722.44
  4. Step 4: Simplify right side
    8,501.28x = 72,834,529.63
  5. Step 5: Solve for x
    x = 72,834,529.63/8,501.28
  6. Step 6: Final answer
    x = 8,567.48

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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.