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Finding the Fourth Proportional to 11,924.32, 16,455.55 and 6,619.12

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Solution

The fourth proportional to 11,924.32, 16,455.55 and 6,619.12 is: 9,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.32 : 16,455.55 = 6,619.12 : x
  2. Step 2: Convert to fraction form
    11,924.32/16,455.55 = 6,619.12/x
  3. Step 3: Cross multiply
    11,924.32x = 16,455.55 × 6,619.12
  4. Step 4: Simplify right side
    11,924.32x = 108,921,260.12
  5. Step 5: Solve for x
    x = 108,921,260.12/11,924.32
  6. Step 6: Final answer
    x = 9,134.38

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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.