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Finding the Fourth Proportional to 11,416.85, 17,125.63 and 3,096.83

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Solution

The fourth proportional to 11,416.85, 17,125.63 and 3,096.83 is: 4,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.85 : 17,125.63 = 3,096.83 : x
  2. Step 2: Convert to fraction form
    11,416.85/17,125.63 = 3,096.83/x
  3. Step 3: Cross multiply
    11,416.85x = 17,125.63 × 3,096.83
  4. Step 4: Simplify right side
    11,416.85x = 53,035,199.82
  5. Step 5: Solve for x
    x = 53,035,199.82/11,416.85
  6. Step 6: Final answer
    x = 4,645.34

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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.