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Finding the Fourth Proportional to 6,876.09, 10,314.03 and 1,682.01

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Solution

The fourth proportional to 6,876.09, 10,314.03 and 1,682.01 is: 2,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.09 : 10,314.03 = 1,682.01 : x
  2. Step 2: Convert to fraction form
    6,876.09/10,314.03 = 1,682.01/x
  3. Step 3: Cross multiply
    6,876.09x = 10,314.03 × 1,682.01
  4. Step 4: Simplify right side
    6,876.09x = 17,348,301.60
  5. Step 5: Solve for x
    x = 17,348,301.60/6,876.09
  6. Step 6: Final answer
    x = 2,522.99

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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.