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Finding the Fourth Proportional to 6,696.30, 10,042.12 and 2,746.42

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Solution

The fourth proportional to 6,696.30, 10,042.12 and 2,746.42 is: 4,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.30 : 10,042.12 = 2,746.42 : x
  2. Step 2: Convert to fraction form
    6,696.30/10,042.12 = 2,746.42/x
  3. Step 3: Cross multiply
    6,696.30x = 10,042.12 × 2,746.42
  4. Step 4: Simplify right side
    6,696.30x = 27,579,879.21
  5. Step 5: Solve for x
    x = 27,579,879.21/6,696.30
  6. Step 6: Final answer
    x = 4,118.67

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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.