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Finding the Fourth Proportional to 6,853.98, 10,274.76 and 4,389.42

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Solution

The fourth proportional to 6,853.98, 10,274.76 and 4,389.42 is: 6,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.98 : 10,274.76 = 4,389.42 : x
  2. Step 2: Convert to fraction form
    6,853.98/10,274.76 = 4,389.42/x
  3. Step 3: Cross multiply
    6,853.98x = 10,274.76 × 4,389.42
  4. Step 4: Simplify right side
    6,853.98x = 45,100,237.04
  5. Step 5: Solve for x
    x = 45,100,237.04/6,853.98
  6. Step 6: Final answer
    x = 6,580.15

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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.