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Finding the Fourth Proportional to 11,525.70, 15,905.78 and 7,049.37

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Solution

The fourth proportional to 11,525.70, 15,905.78 and 7,049.37 is: 9,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.70 : 15,905.78 = 7,049.37 : x
  2. Step 2: Convert to fraction form
    11,525.70/15,905.78 = 7,049.37/x
  3. Step 3: Cross multiply
    11,525.70x = 15,905.78 × 7,049.37
  4. Step 4: Simplify right side
    11,525.70x = 112,125,728.36
  5. Step 5: Solve for x
    x = 112,125,728.36/11,525.70
  6. Step 6: Final answer
    x = 9,728.32

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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.