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Finding the Fourth Proportional to 8,514.72, 12,771.36 and 2,358.72

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Solution

The fourth proportional to 8,514.72, 12,771.36 and 2,358.72 is: 3,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.72 : 12,771.36 = 2,358.72 : x
  2. Step 2: Convert to fraction form
    8,514.72/12,771.36 = 2,358.72/x
  3. Step 3: Cross multiply
    8,514.72x = 12,771.36 × 2,358.72
  4. Step 4: Simplify right side
    8,514.72x = 30,124,062.26
  5. Step 5: Solve for x
    x = 30,124,062.26/8,514.72
  6. Step 6: Final answer
    x = 3,537.88

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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.