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Finding the Fourth Proportional to 11,216.25, 16,826.99 and 6,289.29

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Solution

The fourth proportional to 11,216.25, 16,826.99 and 6,289.29 is: 9,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.25 : 16,826.99 = 6,289.29 : x
  2. Step 2: Convert to fraction form
    11,216.25/16,826.99 = 6,289.29/x
  3. Step 3: Cross multiply
    11,216.25x = 16,826.99 × 6,289.29
  4. Step 4: Simplify right side
    11,216.25x = 105,829,788.49
  5. Step 5: Solve for x
    x = 105,829,788.49/11,216.25
  6. Step 6: Final answer
    x = 9,435.40

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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.