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Finding the Fourth Proportional to 7,813.91, 10,783.20 and 4,277.12

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Solution

The fourth proportional to 7,813.91, 10,783.20 and 4,277.12 is: 5,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.91 : 10,783.20 = 4,277.12 : x
  2. Step 2: Convert to fraction form
    7,813.91/10,783.20 = 4,277.12/x
  3. Step 3: Cross multiply
    7,813.91x = 10,783.20 × 4,277.12
  4. Step 4: Simplify right side
    7,813.91x = 46,121,040.38
  5. Step 5: Solve for x
    x = 46,121,040.38/7,813.91
  6. Step 6: Final answer
    x = 5,902.43

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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.