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Finding the Fourth Proportional to 7,293.51, 10,941.21 and 2,099.25

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Solution

The fourth proportional to 7,293.51, 10,941.21 and 2,099.25 is: 3,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.51 : 10,941.21 = 2,099.25 : x
  2. Step 2: Convert to fraction form
    7,293.51/10,941.21 = 2,099.25/x
  3. Step 3: Cross multiply
    7,293.51x = 10,941.21 × 2,099.25
  4. Step 4: Simplify right side
    7,293.51x = 22,968,335.09
  5. Step 5: Solve for x
    x = 22,968,335.09/7,293.51
  6. Step 6: Final answer
    x = 3,149.15

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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.