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Finding the Fourth Proportional to 11,573.08, 15,971.24 and 6,537.51

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Solution

The fourth proportional to 11,573.08, 15,971.24 and 6,537.51 is: 9,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.08 : 15,971.24 = 6,537.51 : x
  2. Step 2: Convert to fraction form
    11,573.08/15,971.24 = 6,537.51/x
  3. Step 3: Cross multiply
    11,573.08x = 15,971.24 × 6,537.51
  4. Step 4: Simplify right side
    11,573.08x = 104,412,157.56
  5. Step 5: Solve for x
    x = 104,412,157.56/11,573.08
  6. Step 6: Final answer
    x = 9,021.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.