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Finding the Fourth Proportional to 8,428.30, 11,631.09 and 4,651.40

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Solution

The fourth proportional to 8,428.30, 11,631.09 and 4,651.40 is: 6,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.30 : 11,631.09 = 4,651.40 : x
  2. Step 2: Convert to fraction form
    8,428.30/11,631.09 = 4,651.40/x
  3. Step 3: Cross multiply
    8,428.30x = 11,631.09 × 4,651.40
  4. Step 4: Simplify right side
    8,428.30x = 54,100,852.03
  5. Step 5: Solve for x
    x = 54,100,852.03/8,428.30
  6. Step 6: Final answer
    x = 6,418.95

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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.