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Finding the Fourth Proportional to 6,710.18, 9,260.48 and 3,726

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Solution

The fourth proportional to 6,710.18, 9,260.48 and 3,726 is: 5,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.18 : 9,260.48 = 3,726 : x
  2. Step 2: Convert to fraction form
    6,710.18/9,260.48 = 3,726/x
  3. Step 3: Cross multiply
    6,710.18x = 9,260.48 × 3,726
  4. Step 4: Simplify right side
    6,710.18x = 34,504,536.84
  5. Step 5: Solve for x
    x = 34,504,536.84/6,710.18
  6. Step 6: Final answer
    x = 5,142.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.