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Finding the Fourth Proportional to 6,141.06, 8,478.81 and 4,722.24

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Solution

The fourth proportional to 6,141.06, 8,478.81 and 4,722.24 is: 6,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.06 : 8,478.81 = 4,722.24 : x
  2. Step 2: Convert to fraction form
    6,141.06/8,478.81 = 4,722.24/x
  3. Step 3: Cross multiply
    6,141.06x = 8,478.81 × 4,722.24
  4. Step 4: Simplify right side
    6,141.06x = 40,038,975.73
  5. Step 5: Solve for x
    x = 40,038,975.73/6,141.06
  6. Step 6: Final answer
    x = 6,519.88

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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.