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Finding the Fourth Proportional to 11,416.10, 17,124.10 and 4,019.72

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Solution

The fourth proportional to 11,416.10, 17,124.10 and 4,019.72 is: 6,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.10 : 17,124.10 = 4,019.72 : x
  2. Step 2: Convert to fraction form
    11,416.10/17,124.10 = 4,019.72/x
  3. Step 3: Cross multiply
    11,416.10x = 17,124.10 × 4,019.72
  4. Step 4: Simplify right side
    11,416.10x = 68,833,991.58
  5. Step 5: Solve for x
    x = 68,833,991.58/11,416.10
  6. Step 6: Final answer
    x = 6,029.56

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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.