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Finding the Fourth Proportional to 11,357.79, 17,049.47 and 4,789.50

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Solution

The fourth proportional to 11,357.79, 17,049.47 and 4,789.50 is: 7,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.79 : 17,049.47 = 4,789.50 : x
  2. Step 2: Convert to fraction form
    11,357.79/17,049.47 = 4,789.50/x
  3. Step 3: Cross multiply
    11,357.79x = 17,049.47 × 4,789.50
  4. Step 4: Simplify right side
    11,357.79x = 81,658,412.62
  5. Step 5: Solve for x
    x = 81,658,412.62/11,357.79
  6. Step 6: Final answer
    x = 7,189.64

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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.