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Finding the Fourth Proportional to 11,074.40, 16,579.20 and 9,778.40

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Solution

The fourth proportional to 11,074.40, 16,579.20 and 9,778.40 is: 14,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.40 : 16,579.20 = 9,778.40 : x
  2. Step 2: Convert to fraction form
    11,074.40/16,579.20 = 9,778.40/x
  3. Step 3: Cross multiply
    11,074.40x = 16,579.20 × 9,778.40
  4. Step 4: Simplify right side
    11,074.40x = 162,118,049.28
  5. Step 5: Solve for x
    x = 162,118,049.28/11,074.40
  6. Step 6: Final answer
    x = 14,638.99

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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.