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Finding the Fourth Proportional to 10,514.52, 15,771.02 and 2,723.08

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Solution

The fourth proportional to 10,514.52, 15,771.02 and 2,723.08 is: 4,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.52 : 15,771.02 = 2,723.08 : x
  2. Step 2: Convert to fraction form
    10,514.52/15,771.02 = 2,723.08/x
  3. Step 3: Cross multiply
    10,514.52x = 15,771.02 × 2,723.08
  4. Step 4: Simplify right side
    10,514.52x = 42,945,749.14
  5. Step 5: Solve for x
    x = 42,945,749.14/10,514.52
  6. Step 6: Final answer
    x = 4,084.42

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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.