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Finding the Fourth Proportional to 11,678.41, 17,510.55 and 4,659.49

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Solution

The fourth proportional to 11,678.41, 17,510.55 and 4,659.49 is: 6,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.41 : 17,510.55 = 4,659.49 : x
  2. Step 2: Convert to fraction form
    11,678.41/17,510.55 = 4,659.49/x
  3. Step 3: Cross multiply
    11,678.41x = 17,510.55 × 4,659.49
  4. Step 4: Simplify right side
    11,678.41x = 81,590,232.62
  5. Step 5: Solve for x
    x = 81,590,232.62/11,678.41
  6. Step 6: Final answer
    x = 6,986.42

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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.