Home / 11,723.52-16,178.64-7,008

Finding the Fourth Proportional to 11,723.52, 16,178.64 and 7,008

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Solution

The fourth proportional to 11,723.52, 16,178.64 and 7,008 is: 9,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.52 : 16,178.64 = 7,008 : x
  2. Step 2: Convert to fraction form
    11,723.52/16,178.64 = 7,008/x
  3. Step 3: Cross multiply
    11,723.52x = 16,178.64 × 7,008
  4. Step 4: Simplify right side
    11,723.52x = 113,379,909.12
  5. Step 5: Solve for x
    x = 113,379,909.12/11,723.52
  6. Step 6: Final answer
    x = 9,671.15

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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.