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Finding the Fourth Proportional to 6,730.40, 10,071.60 and 4,266.40

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Solution

The fourth proportional to 6,730.40, 10,071.60 and 4,266.40 is: 6,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.40 : 10,071.60 = 4,266.40 : x
  2. Step 2: Convert to fraction form
    6,730.40/10,071.60 = 4,266.40/x
  3. Step 3: Cross multiply
    6,730.40x = 10,071.60 × 4,266.40
  4. Step 4: Simplify right side
    6,730.40x = 42,969,474.24
  5. Step 5: Solve for x
    x = 42,969,474.24/6,730.40
  6. Step 6: Final answer
    x = 6,384.39

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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.