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Finding the Fourth Proportional to 6,853.74, 10,280.43 and 3,930

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Solution

The fourth proportional to 6,853.74, 10,280.43 and 3,930 is: 5,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.74 : 10,280.43 = 3,930 : x
  2. Step 2: Convert to fraction form
    6,853.74/10,280.43 = 3,930/x
  3. Step 3: Cross multiply
    6,853.74x = 10,280.43 × 3,930
  4. Step 4: Simplify right side
    6,853.74x = 40,402,089.90
  5. Step 5: Solve for x
    x = 40,402,089.90/6,853.74
  6. Step 6: Final answer
    x = 5,894.90

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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.