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Finding the Fourth Proportional to 6,696.46, 10,045.91 and 2,314.36

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Solution

The fourth proportional to 6,696.46, 10,045.91 and 2,314.36 is: 3,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.46 : 10,045.91 = 2,314.36 : x
  2. Step 2: Convert to fraction form
    6,696.46/10,045.91 = 2,314.36/x
  3. Step 3: Cross multiply
    6,696.46x = 10,045.91 × 2,314.36
  4. Step 4: Simplify right side
    6,696.46x = 23,249,852.27
  5. Step 5: Solve for x
    x = 23,249,852.27/6,696.46
  6. Step 6: Final answer
    x = 3,471.96

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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.