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Finding the Fourth Proportional to 6,905.88, 10,360.44 and 2,523.42

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Solution

The fourth proportional to 6,905.88, 10,360.44 and 2,523.42 is: 3,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.88 : 10,360.44 = 2,523.42 : x
  2. Step 2: Convert to fraction form
    6,905.88/10,360.44 = 2,523.42/x
  3. Step 3: Cross multiply
    6,905.88x = 10,360.44 × 2,523.42
  4. Step 4: Simplify right side
    6,905.88x = 26,143,741.50
  5. Step 5: Solve for x
    x = 26,143,741.50/6,905.88
  6. Step 6: Final answer
    x = 3,785.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.