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Finding the Fourth Proportional to 7,204.52, 10,808 and 2,274.06

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Solution

The fourth proportional to 7,204.52, 10,808 and 2,274.06 is: 3,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.52 : 10,808 = 2,274.06 : x
  2. Step 2: Convert to fraction form
    7,204.52/10,808 = 2,274.06/x
  3. Step 3: Cross multiply
    7,204.52x = 10,808 × 2,274.06
  4. Step 4: Simplify right side
    7,204.52x = 24,578,040.48
  5. Step 5: Solve for x
    x = 24,578,040.48/7,204.52
  6. Step 6: Final answer
    x = 3,411.48

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