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Finding the Fourth Proportional to 6,814.35, 10,222.74 and 1,883.88

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Solution

The fourth proportional to 6,814.35, 10,222.74 and 1,883.88 is: 2,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.35 : 10,222.74 = 1,883.88 : x
  2. Step 2: Convert to fraction form
    6,814.35/10,222.74 = 1,883.88/x
  3. Step 3: Cross multiply
    6,814.35x = 10,222.74 × 1,883.88
  4. Step 4: Simplify right side
    6,814.35x = 19,258,415.43
  5. Step 5: Solve for x
    x = 19,258,415.43/6,814.35
  6. Step 6: Final answer
    x = 2,826.16

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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.