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Finding the Fourth Proportional to 7,204.60, 10,805.99 and 2,274.74

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Solution

The fourth proportional to 7,204.60, 10,805.99 and 2,274.74 is: 3,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.60 : 10,805.99 = 2,274.74 : x
  2. Step 2: Convert to fraction form
    7,204.60/10,805.99 = 2,274.74/x
  3. Step 3: Cross multiply
    7,204.60x = 10,805.99 × 2,274.74
  4. Step 4: Simplify right side
    7,204.60x = 24,580,817.69
  5. Step 5: Solve for x
    x = 24,580,817.69/7,204.60
  6. Step 6: Final answer
    x = 3,411.82

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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.