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Finding the Fourth Proportional to 10,404.69, 14,357.48 and 5,928.33

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Solution

The fourth proportional to 10,404.69, 14,357.48 and 5,928.33 is: 8,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.69 : 14,357.48 = 5,928.33 : x
  2. Step 2: Convert to fraction form
    10,404.69/14,357.48 = 5,928.33/x
  3. Step 3: Cross multiply
    10,404.69x = 14,357.48 × 5,928.33
  4. Step 4: Simplify right side
    10,404.69x = 85,115,879.41
  5. Step 5: Solve for x
    x = 85,115,879.41/10,404.69
  6. Step 6: Final answer
    x = 8,180.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.