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Finding the Fourth Proportional to 11,673.93, 16,109.36 and 6,637.44

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Solution

The fourth proportional to 11,673.93, 16,109.36 and 6,637.44 is: 9,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.93 : 16,109.36 = 6,637.44 : x
  2. Step 2: Convert to fraction form
    11,673.93/16,109.36 = 6,637.44/x
  3. Step 3: Cross multiply
    11,673.93x = 16,109.36 × 6,637.44
  4. Step 4: Simplify right side
    11,673.93x = 106,924,927.03
  5. Step 5: Solve for x
    x = 106,924,927.03/11,673.93
  6. Step 6: Final answer
    x = 9,159.29

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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.