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Finding the Fourth Proportional to 7,757.36, 11,661.96 and 6,046.64

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Solution

The fourth proportional to 7,757.36, 11,661.96 and 6,046.64 is: 9,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.36 : 11,661.96 = 6,046.64 : x
  2. Step 2: Convert to fraction form
    7,757.36/11,661.96 = 6,046.64/x
  3. Step 3: Cross multiply
    7,757.36x = 11,661.96 × 6,046.64
  4. Step 4: Simplify right side
    7,757.36x = 70,515,673.81
  5. Step 5: Solve for x
    x = 70,515,673.81/7,757.36
  6. Step 6: Final answer
    x = 9,090.16

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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.