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Finding the Fourth Proportional to 6,116.70, 8,440.47 and 4,230.30

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Solution

The fourth proportional to 6,116.70, 8,440.47 and 4,230.30 is: 5,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.70 : 8,440.47 = 4,230.30 : x
  2. Step 2: Convert to fraction form
    6,116.70/8,440.47 = 4,230.30/x
  3. Step 3: Cross multiply
    6,116.70x = 8,440.47 × 4,230.30
  4. Step 4: Simplify right side
    6,116.70x = 35,705,720.24
  5. Step 5: Solve for x
    x = 35,705,720.24/6,116.70
  6. Step 6: Final answer
    x = 5,837.42

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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.