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Finding the Fourth Proportional to 11,495.69, 17,265.41 and 7,143.56

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Solution

The fourth proportional to 11,495.69, 17,265.41 and 7,143.56 is: 10,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.69 : 17,265.41 = 7,143.56 : x
  2. Step 2: Convert to fraction form
    11,495.69/17,265.41 = 7,143.56/x
  3. Step 3: Cross multiply
    11,495.69x = 17,265.41 × 7,143.56
  4. Step 4: Simplify right side
    11,495.69x = 123,336,526.49
  5. Step 5: Solve for x
    x = 123,336,526.49/11,495.69
  6. Step 6: Final answer
    x = 10,728.93

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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.