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Finding the Fourth Proportional to 7,865.68, 10,855.09 and 4,509.05

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Solution

The fourth proportional to 7,865.68, 10,855.09 and 4,509.05 is: 6,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.68 : 10,855.09 = 4,509.05 : x
  2. Step 2: Convert to fraction form
    7,865.68/10,855.09 = 4,509.05/x
  3. Step 3: Cross multiply
    7,865.68x = 10,855.09 × 4,509.05
  4. Step 4: Simplify right side
    7,865.68x = 48,946,143.56
  5. Step 5: Solve for x
    x = 48,946,143.56/7,865.68
  6. Step 6: Final answer
    x = 6,222.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.