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Finding the Fourth Proportional to 11,629.36, 16,046.76 and 7,153.84

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Solution

The fourth proportional to 11,629.36, 16,046.76 and 7,153.84 is: 9,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.36 : 16,046.76 = 7,153.84 : x
  2. Step 2: Convert to fraction form
    11,629.36/16,046.76 = 7,153.84/x
  3. Step 3: Cross multiply
    11,629.36x = 16,046.76 × 7,153.84
  4. Step 4: Simplify right side
    11,629.36x = 114,795,953.56
  5. Step 5: Solve for x
    x = 114,795,953.56/11,629.36
  6. Step 6: Final answer
    x = 9,871.22

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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.