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Finding the Fourth Proportional to 8,514.42, 12,783.58 and 4,357.41

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Solution

The fourth proportional to 8,514.42, 12,783.58 and 4,357.41 is: 6,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.42 : 12,783.58 = 4,357.41 : x
  2. Step 2: Convert to fraction form
    8,514.42/12,783.58 = 4,357.41/x
  3. Step 3: Cross multiply
    8,514.42x = 12,783.58 × 4,357.41
  4. Step 4: Simplify right side
    8,514.42x = 55,703,299.33
  5. Step 5: Solve for x
    x = 55,703,299.33/8,514.42
  6. Step 6: Final answer
    x = 6,542.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.