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Finding the Fourth Proportional to 11,448.42, 15,795.87 and 6,731.82

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Solution

The fourth proportional to 11,448.42, 15,795.87 and 6,731.82 is: 9,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.42 : 15,795.87 = 6,731.82 : x
  2. Step 2: Convert to fraction form
    11,448.42/15,795.87 = 6,731.82/x
  3. Step 3: Cross multiply
    11,448.42x = 15,795.87 × 6,731.82
  4. Step 4: Simplify right side
    11,448.42x = 106,334,953.58
  5. Step 5: Solve for x
    x = 106,334,953.58/11,448.42
  6. Step 6: Final answer
    x = 9,288.18

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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.