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Finding the Fourth Proportional to 11,873.94, 17,795.16 and 6,315.31

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Solution

The fourth proportional to 11,873.94, 17,795.16 and 6,315.31 is: 9,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.94 : 17,795.16 = 6,315.31 : x
  2. Step 2: Convert to fraction form
    11,873.94/17,795.16 = 6,315.31/x
  3. Step 3: Cross multiply
    11,873.94x = 17,795.16 × 6,315.31
  4. Step 4: Simplify right side
    11,873.94x = 112,381,951.90
  5. Step 5: Solve for x
    x = 112,381,951.90/11,873.94
  6. Step 6: Final answer
    x = 9,464.59

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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.