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Finding the Fourth Proportional to 11,778, 17,665.70 and 3,458.09

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Solution

The fourth proportional to 11,778, 17,665.70 and 3,458.09 is: 5,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778 : 17,665.70 = 3,458.09 : x
  2. Step 2: Convert to fraction form
    11,778/17,665.70 = 3,458.09/x
  3. Step 3: Cross multiply
    11,778x = 17,665.70 × 3,458.09
  4. Step 4: Simplify right side
    11,778x = 61,089,474.89
  5. Step 5: Solve for x
    x = 61,089,474.89/11,778
  6. Step 6: Final answer
    x = 5,186.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.