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Finding the Fourth Proportional to 11,409.91, 17,090.59 and 5,478.05

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Solution

The fourth proportional to 11,409.91, 17,090.59 and 5,478.05 is: 8,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.91 : 17,090.59 = 5,478.05 : x
  2. Step 2: Convert to fraction form
    11,409.91/17,090.59 = 5,478.05/x
  3. Step 3: Cross multiply
    11,409.91x = 17,090.59 × 5,478.05
  4. Step 4: Simplify right side
    11,409.91x = 93,623,106.55
  5. Step 5: Solve for x
    x = 93,623,106.55/11,409.91
  6. Step 6: Final answer
    x = 8,205.42

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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.