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Finding the Fourth Proportional to 10,226.40, 14,120.40 and 8,246.40

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Solution

The fourth proportional to 10,226.40, 14,120.40 and 8,246.40 is: 11,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.40 : 14,120.40 = 8,246.40 : x
  2. Step 2: Convert to fraction form
    10,226.40/14,120.40 = 8,246.40/x
  3. Step 3: Cross multiply
    10,226.40x = 14,120.40 × 8,246.40
  4. Step 4: Simplify right side
    10,226.40x = 116,442,466.56
  5. Step 5: Solve for x
    x = 116,442,466.56/10,226.40
  6. Step 6: Final answer
    x = 11,386.46

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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.