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Finding the Fourth Proportional to 6,116.94, 8,440.80 and 3,463.80

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Solution

The fourth proportional to 6,116.94, 8,440.80 and 3,463.80 is: 4,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.94 : 8,440.80 = 3,463.80 : x
  2. Step 2: Convert to fraction form
    6,116.94/8,440.80 = 3,463.80/x
  3. Step 3: Cross multiply
    6,116.94x = 8,440.80 × 3,463.80
  4. Step 4: Simplify right side
    6,116.94x = 29,237,243.04
  5. Step 5: Solve for x
    x = 29,237,243.04/6,116.94
  6. Step 6: Final answer
    x = 4,779.72

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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.