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Finding the Fourth Proportional to 10,729.44, 16,096.32 and 3,804.48

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Solution

The fourth proportional to 10,729.44, 16,096.32 and 3,804.48 is: 5,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.44 : 16,096.32 = 3,804.48 : x
  2. Step 2: Convert to fraction form
    10,729.44/16,096.32 = 3,804.48/x
  3. Step 3: Cross multiply
    10,729.44x = 16,096.32 × 3,804.48
  4. Step 4: Simplify right side
    10,729.44x = 61,238,127.51
  5. Step 5: Solve for x
    x = 61,238,127.51/10,729.44
  6. Step 6: Final answer
    x = 5,707.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.