Home / 11,796.80-16,276.64-7,600

Finding the Fourth Proportional to 11,796.80, 16,276.64 and 7,600

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Solution

The fourth proportional to 11,796.80, 16,276.64 and 7,600 is: 10,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.80 : 16,276.64 = 7,600 : x
  2. Step 2: Convert to fraction form
    11,796.80/16,276.64 = 7,600/x
  3. Step 3: Cross multiply
    11,796.80x = 16,276.64 × 7,600
  4. Step 4: Simplify right side
    11,796.80x = 123,702,464
  5. Step 5: Solve for x
    x = 123,702,464/11,796.80
  6. Step 6: Final answer
    x = 10,486.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.