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Finding the Fourth Proportional to 6,853.96, 10,282.74 and 2,411.45

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Solution

The fourth proportional to 6,853.96, 10,282.74 and 2,411.45 is: 3,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.96 : 10,282.74 = 2,411.45 : x
  2. Step 2: Convert to fraction form
    6,853.96/10,282.74 = 2,411.45/x
  3. Step 3: Cross multiply
    6,853.96x = 10,282.74 × 2,411.45
  4. Step 4: Simplify right side
    6,853.96x = 24,796,298.26
  5. Step 5: Solve for x
    x = 24,796,298.26/6,853.96
  6. Step 6: Final answer
    x = 3,617.80

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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.