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Finding the Fourth Proportional to 4,863.94, 6,708.09 and 4,111.36

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Solution

The fourth proportional to 4,863.94, 6,708.09 and 4,111.36 is: 5,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.94 : 6,708.09 = 4,111.36 : x
  2. Step 2: Convert to fraction form
    4,863.94/6,708.09 = 4,111.36/x
  3. Step 3: Cross multiply
    4,863.94x = 6,708.09 × 4,111.36
  4. Step 4: Simplify right side
    4,863.94x = 27,579,372.90
  5. Step 5: Solve for x
    x = 27,579,372.90/4,863.94
  6. Step 6: Final answer
    x = 5,670.17

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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.