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Finding the Fourth Proportional to 8,292.49, 12,434.06 and 3,096.25

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Solution

The fourth proportional to 8,292.49, 12,434.06 and 3,096.25 is: 4,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.49 : 12,434.06 = 3,096.25 : x
  2. Step 2: Convert to fraction form
    8,292.49/12,434.06 = 3,096.25/x
  3. Step 3: Cross multiply
    8,292.49x = 12,434.06 × 3,096.25
  4. Step 4: Simplify right side
    8,292.49x = 38,498,942.79
  5. Step 5: Solve for x
    x = 38,498,942.79/8,292.49
  6. Step 6: Final answer
    x = 4,642.63

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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.