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Finding the Fourth Proportional to 6,783.46, 10,172.64 and 2,339.88

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Solution

The fourth proportional to 6,783.46, 10,172.64 and 2,339.88 is: 3,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.46 : 10,172.64 = 2,339.88 : x
  2. Step 2: Convert to fraction form
    6,783.46/10,172.64 = 2,339.88/x
  3. Step 3: Cross multiply
    6,783.46x = 10,172.64 × 2,339.88
  4. Step 4: Simplify right side
    6,783.46x = 23,802,756.88
  5. Step 5: Solve for x
    x = 23,802,756.88/6,783.46
  6. Step 6: Final answer
    x = 3,508.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.