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Finding the Fourth Proportional to 11,495.31, 17,241.74 and 7,111.59

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Solution

The fourth proportional to 11,495.31, 17,241.74 and 7,111.59 is: 10,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.31 : 17,241.74 = 7,111.59 : x
  2. Step 2: Convert to fraction form
    11,495.31/17,241.74 = 7,111.59/x
  3. Step 3: Cross multiply
    11,495.31x = 17,241.74 × 7,111.59
  4. Step 4: Simplify right side
    11,495.31x = 122,616,185.77
  5. Step 5: Solve for x
    x = 122,616,185.77/11,495.31
  6. Step 6: Final answer
    x = 10,666.63

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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.