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Finding the Fourth Proportional to 8,514.24, 12,771.32 and 2,358.24

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Solution

The fourth proportional to 8,514.24, 12,771.32 and 2,358.24 is: 3,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.24 : 12,771.32 = 2,358.24 : x
  2. Step 2: Convert to fraction form
    8,514.24/12,771.32 = 2,358.24/x
  3. Step 3: Cross multiply
    8,514.24x = 12,771.32 × 2,358.24
  4. Step 4: Simplify right side
    8,514.24x = 30,117,837.68
  5. Step 5: Solve for x
    x = 30,117,837.68/8,514.24
  6. Step 6: Final answer
    x = 3,537.35

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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.