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Finding the Fourth Proportional to 11,537.31, 17,300.49 and 5,985.10

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Solution

The fourth proportional to 11,537.31, 17,300.49 and 5,985.10 is: 8,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.31 : 17,300.49 = 5,985.10 : x
  2. Step 2: Convert to fraction form
    11,537.31/17,300.49 = 5,985.10/x
  3. Step 3: Cross multiply
    11,537.31x = 17,300.49 × 5,985.10
  4. Step 4: Simplify right side
    11,537.31x = 103,545,162.70
  5. Step 5: Solve for x
    x = 103,545,162.70/11,537.31
  6. Step 6: Final answer
    x = 8,974.81

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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.