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Finding the Fourth Proportional to 10,245.40, 14,138.46 and 6,266.22

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Solution

The fourth proportional to 10,245.40, 14,138.46 and 6,266.22 is: 8,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.40 : 14,138.46 = 6,266.22 : x
  2. Step 2: Convert to fraction form
    10,245.40/14,138.46 = 6,266.22/x
  3. Step 3: Cross multiply
    10,245.40x = 14,138.46 × 6,266.22
  4. Step 4: Simplify right side
    10,245.40x = 88,594,700.82
  5. Step 5: Solve for x
    x = 88,594,700.82/10,245.40
  6. Step 6: Final answer
    x = 8,647.27

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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.