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Finding the Fourth Proportional to 6,883.88, 10,326.02 and 1,689.75

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Solution

The fourth proportional to 6,883.88, 10,326.02 and 1,689.75 is: 2,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.88 : 10,326.02 = 1,689.75 : x
  2. Step 2: Convert to fraction form
    6,883.88/10,326.02 = 1,689.75/x
  3. Step 3: Cross multiply
    6,883.88x = 10,326.02 × 1,689.75
  4. Step 4: Simplify right side
    6,883.88x = 17,448,383.85
  5. Step 5: Solve for x
    x = 17,448,383.85/6,883.88
  6. Step 6: Final answer
    x = 2,534.67

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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.