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Finding the Fourth Proportional to 7,284.94, 10,927.44 and 2,090.81

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Solution

The fourth proportional to 7,284.94, 10,927.44 and 2,090.81 is: 3,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.94 : 10,927.44 = 2,090.81 : x
  2. Step 2: Convert to fraction form
    7,284.94/10,927.44 = 2,090.81/x
  3. Step 3: Cross multiply
    7,284.94x = 10,927.44 × 2,090.81
  4. Step 4: Simplify right side
    7,284.94x = 22,847,228.15
  5. Step 5: Solve for x
    x = 22,847,228.15/7,284.94
  6. Step 6: Final answer
    x = 3,136.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.