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Finding the Fourth Proportional to 11,416.64, 17,104 and 9,579.52

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Solution

The fourth proportional to 11,416.64, 17,104 and 9,579.52 is: 14,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.64 : 17,104 = 9,579.52 : x
  2. Step 2: Convert to fraction form
    11,416.64/17,104 = 9,579.52/x
  3. Step 3: Cross multiply
    11,416.64x = 17,104 × 9,579.52
  4. Step 4: Simplify right side
    11,416.64x = 163,848,110.08
  5. Step 5: Solve for x
    x = 163,848,110.08/11,416.64
  6. Step 6: Final answer
    x = 14,351.69

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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.