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Finding the Fourth Proportional to 7,486, 11,229.03 and 1,938.95

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Solution

The fourth proportional to 7,486, 11,229.03 and 1,938.95 is: 2,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 11,229.03 = 1,938.95 : x
  2. Step 2: Convert to fraction form
    7,486/11,229.03 = 1,938.95/x
  3. Step 3: Cross multiply
    7,486x = 11,229.03 × 1,938.95
  4. Step 4: Simplify right side
    7,486x = 21,772,527.72
  5. Step 5: Solve for x
    x = 21,772,527.72/7,486
  6. Step 6: Final answer
    x = 2,908.43

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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.