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Finding the Fourth Proportional to 6,898.85, 10,347.22 and 2,516.31

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Solution

The fourth proportional to 6,898.85, 10,347.22 and 2,516.31 is: 3,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.85 : 10,347.22 = 2,516.31 : x
  2. Step 2: Convert to fraction form
    6,898.85/10,347.22 = 2,516.31/x
  3. Step 3: Cross multiply
    6,898.85x = 10,347.22 × 2,516.31
  4. Step 4: Simplify right side
    6,898.85x = 26,036,755.13
  5. Step 5: Solve for x
    x = 26,036,755.13/6,898.85
  6. Step 6: Final answer
    x = 3,774.07

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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.