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Finding the Fourth Proportional to 6,116.18, 8,444.25 and 4,205.18

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Solution

The fourth proportional to 6,116.18, 8,444.25 and 4,205.18 is: 5,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.18 : 8,444.25 = 4,205.18 : x
  2. Step 2: Convert to fraction form
    6,116.18/8,444.25 = 4,205.18/x
  3. Step 3: Cross multiply
    6,116.18x = 8,444.25 × 4,205.18
  4. Step 4: Simplify right side
    6,116.18x = 35,509,548.99
  5. Step 5: Solve for x
    x = 35,509,548.99/6,116.18
  6. Step 6: Final answer
    x = 5,805.84

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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.