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Finding the Fourth Proportional to 7,903.75, 10,906.78 and 4,366.28

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Solution

The fourth proportional to 7,903.75, 10,906.78 and 4,366.28 is: 6,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.75 : 10,906.78 = 4,366.28 : x
  2. Step 2: Convert to fraction form
    7,903.75/10,906.78 = 4,366.28/x
  3. Step 3: Cross multiply
    7,903.75x = 10,906.78 × 4,366.28
  4. Step 4: Simplify right side
    7,903.75x = 47,622,055.38
  5. Step 5: Solve for x
    x = 47,622,055.38/7,903.75
  6. Step 6: Final answer
    x = 6,025.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.