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Finding the Fourth Proportional to 7,303, 10,954.56 and 2,108.92

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Solution

The fourth proportional to 7,303, 10,954.56 and 2,108.92 is: 3,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303 : 10,954.56 = 2,108.92 : x
  2. Step 2: Convert to fraction form
    7,303/10,954.56 = 2,108.92/x
  3. Step 3: Cross multiply
    7,303x = 10,954.56 × 2,108.92
  4. Step 4: Simplify right side
    7,303x = 23,102,290.68
  5. Step 5: Solve for x
    x = 23,102,290.68/7,303
  6. Step 6: Final answer
    x = 3,163.40

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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.