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Finding the Fourth Proportional to 11,392.96, 17,089.26 and 5,148.60

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Solution

The fourth proportional to 11,392.96, 17,089.26 and 5,148.60 is: 7,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.96 : 17,089.26 = 5,148.60 : x
  2. Step 2: Convert to fraction form
    11,392.96/17,089.26 = 5,148.60/x
  3. Step 3: Cross multiply
    11,392.96x = 17,089.26 × 5,148.60
  4. Step 4: Simplify right side
    11,392.96x = 87,985,764.04
  5. Step 5: Solve for x
    x = 87,985,764.04/11,392.96
  6. Step 6: Final answer
    x = 7,722.82

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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.