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Finding the Fourth Proportional to 11,548.63, 15,937.37 and 6,832.99

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Solution

The fourth proportional to 11,548.63, 15,937.37 and 6,832.99 is: 9,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.63 : 15,937.37 = 6,832.99 : x
  2. Step 2: Convert to fraction form
    11,548.63/15,937.37 = 6,832.99/x
  3. Step 3: Cross multiply
    11,548.63x = 15,937.37 × 6,832.99
  4. Step 4: Simplify right side
    11,548.63x = 108,899,889.84
  5. Step 5: Solve for x
    x = 108,899,889.84/11,548.63
  6. Step 6: Final answer
    x = 9,429.68

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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.