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Finding the Fourth Proportional to 11,833.70, 17,743.80 and 4,438.40

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Solution

The fourth proportional to 11,833.70, 17,743.80 and 4,438.40 is: 6,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.70 : 17,743.80 = 4,438.40 : x
  2. Step 2: Convert to fraction form
    11,833.70/17,743.80 = 4,438.40/x
  3. Step 3: Cross multiply
    11,833.70x = 17,743.80 × 4,438.40
  4. Step 4: Simplify right side
    11,833.70x = 78,754,081.92
  5. Step 5: Solve for x
    x = 78,754,081.92/11,833.70
  6. Step 6: Final answer
    x = 6,655.07

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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.