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Finding the Fourth Proportional to 7,303.08, 10,954.71 and 2,109

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Solution

The fourth proportional to 7,303.08, 10,954.71 and 2,109 is: 3,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.08 : 10,954.71 = 2,109 : x
  2. Step 2: Convert to fraction form
    7,303.08/10,954.71 = 2,109/x
  3. Step 3: Cross multiply
    7,303.08x = 10,954.71 × 2,109
  4. Step 4: Simplify right side
    7,303.08x = 23,103,483.39
  5. Step 5: Solve for x
    x = 23,103,483.39/7,303.08
  6. Step 6: Final answer
    x = 3,163.53

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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.