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Finding the Fourth Proportional to 11,709.44, 16,160.51 and 6,675.47

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Solution

The fourth proportional to 11,709.44, 16,160.51 and 6,675.47 is: 9,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.44 : 16,160.51 = 6,675.47 : x
  2. Step 2: Convert to fraction form
    11,709.44/16,160.51 = 6,675.47/x
  3. Step 3: Cross multiply
    11,709.44x = 16,160.51 × 6,675.47
  4. Step 4: Simplify right side
    11,709.44x = 107,878,996.18
  5. Step 5: Solve for x
    x = 107,878,996.18/11,709.44
  6. Step 6: Final answer
    x = 9,212.99

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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.