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Finding the Fourth Proportional to 7,934.71, 11,903.73 and 2,388.46

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Solution

The fourth proportional to 7,934.71, 11,903.73 and 2,388.46 is: 3,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.71 : 11,903.73 = 2,388.46 : x
  2. Step 2: Convert to fraction form
    7,934.71/11,903.73 = 2,388.46/x
  3. Step 3: Cross multiply
    7,934.71x = 11,903.73 × 2,388.46
  4. Step 4: Simplify right side
    7,934.71x = 28,431,511.49
  5. Step 5: Solve for x
    x = 28,431,511.49/7,934.71
  6. Step 6: Final answer
    x = 3,583.18

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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.