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Finding the Fourth Proportional to 11,865.34, 17,778.02 and 7,171.02

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Solution

The fourth proportional to 11,865.34, 17,778.02 and 7,171.02 is: 10,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.34 : 17,778.02 = 7,171.02 : x
  2. Step 2: Convert to fraction form
    11,865.34/17,778.02 = 7,171.02/x
  3. Step 3: Cross multiply
    11,865.34x = 17,778.02 × 7,171.02
  4. Step 4: Simplify right side
    11,865.34x = 127,486,536.98
  5. Step 5: Solve for x
    x = 127,486,536.98/11,865.34
  6. Step 6: Final answer
    x = 10,744.45

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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.