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Finding the Fourth Proportional to 11,521.49, 15,896.81 and 7,043.60

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Solution

The fourth proportional to 11,521.49, 15,896.81 and 7,043.60 is: 9,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.49 : 15,896.81 = 7,043.60 : x
  2. Step 2: Convert to fraction form
    11,521.49/15,896.81 = 7,043.60/x
  3. Step 3: Cross multiply
    11,521.49x = 15,896.81 × 7,043.60
  4. Step 4: Simplify right side
    11,521.49x = 111,970,828.27
  5. Step 5: Solve for x
    x = 111,970,828.27/11,521.49
  6. Step 6: Final answer
    x = 9,718.44

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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.