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Finding the Fourth Proportional to 10,853.75, 16,282.74 and 4,613.69

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Solution

The fourth proportional to 10,853.75, 16,282.74 and 4,613.69 is: 6,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.75 : 16,282.74 = 4,613.69 : x
  2. Step 2: Convert to fraction form
    10,853.75/16,282.74 = 4,613.69/x
  3. Step 3: Cross multiply
    10,853.75x = 16,282.74 × 4,613.69
  4. Step 4: Simplify right side
    10,853.75x = 75,123,514.71
  5. Step 5: Solve for x
    x = 75,123,514.71/10,853.75
  6. Step 6: Final answer
    x = 6,921.43

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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.