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Finding the Fourth Proportional to 11,405.86, 17,110.43 and 3,509.04

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Solution

The fourth proportional to 11,405.86, 17,110.43 and 3,509.04 is: 5,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.86 : 17,110.43 = 3,509.04 : x
  2. Step 2: Convert to fraction form
    11,405.86/17,110.43 = 3,509.04/x
  3. Step 3: Cross multiply
    11,405.86x = 17,110.43 × 3,509.04
  4. Step 4: Simplify right side
    11,405.86x = 60,041,150.91
  5. Step 5: Solve for x
    x = 60,041,150.91/11,405.86
  6. Step 6: Final answer
    x = 5,264.06

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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.