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Finding the Fourth Proportional to 11,852.64, 16,351.20 and 7,662.24

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Solution

The fourth proportional to 11,852.64, 16,351.20 and 7,662.24 is: 10,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.64 : 16,351.20 = 7,662.24 : x
  2. Step 2: Convert to fraction form
    11,852.64/16,351.20 = 7,662.24/x
  3. Step 3: Cross multiply
    11,852.64x = 16,351.20 × 7,662.24
  4. Step 4: Simplify right side
    11,852.64x = 125,286,818.69
  5. Step 5: Solve for x
    x = 125,286,818.69/11,852.64
  6. Step 6: Final answer
    x = 10,570.37

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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.