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Finding the Fourth Proportional to 8,519.71, 12,782.18 and 4,362.64

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Solution

The fourth proportional to 8,519.71, 12,782.18 and 4,362.64 is: 6,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.71 : 12,782.18 = 4,362.64 : x
  2. Step 2: Convert to fraction form
    8,519.71/12,782.18 = 4,362.64/x
  3. Step 3: Cross multiply
    8,519.71x = 12,782.18 × 4,362.64
  4. Step 4: Simplify right side
    8,519.71x = 55,764,049.76
  5. Step 5: Solve for x
    x = 55,764,049.76/8,519.71
  6. Step 6: Final answer
    x = 6,545.30

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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.