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Finding the Fourth Proportional to 12,404.65, 17,118.56 and 6,739.46

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Solution

The fourth proportional to 12,404.65, 17,118.56 and 6,739.46 is: 9,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.65 : 17,118.56 = 6,739.46 : x
  2. Step 2: Convert to fraction form
    12,404.65/17,118.56 = 6,739.46/x
  3. Step 3: Cross multiply
    12,404.65x = 17,118.56 × 6,739.46
  4. Step 4: Simplify right side
    12,404.65x = 115,369,850.38
  5. Step 5: Solve for x
    x = 115,369,850.38/12,404.65
  6. Step 6: Final answer
    x = 9,300.53

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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.