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Finding the Fourth Proportional to 6,783.98, 10,177.42 and 2,103.88

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Solution

The fourth proportional to 6,783.98, 10,177.42 and 2,103.88 is: 3,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.98 : 10,177.42 = 2,103.88 : x
  2. Step 2: Convert to fraction form
    6,783.98/10,177.42 = 2,103.88/x
  3. Step 3: Cross multiply
    6,783.98x = 10,177.42 × 2,103.88
  4. Step 4: Simplify right side
    6,783.98x = 21,412,085.31
  5. Step 5: Solve for x
    x = 21,412,085.31/6,783.98
  6. Step 6: Final answer
    x = 3,156.27

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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.