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Finding the Fourth Proportional to 11,613.75, 17,423.51 and 3,405.75

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Solution

The fourth proportional to 11,613.75, 17,423.51 and 3,405.75 is: 5,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.75 : 17,423.51 = 3,405.75 : x
  2. Step 2: Convert to fraction form
    11,613.75/17,423.51 = 3,405.75/x
  3. Step 3: Cross multiply
    11,613.75x = 17,423.51 × 3,405.75
  4. Step 4: Simplify right side
    11,613.75x = 59,340,119.18
  5. Step 5: Solve for x
    x = 59,340,119.18/11,613.75
  6. Step 6: Final answer
    x = 5,109.47

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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.