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Finding the Fourth Proportional to 8,714.57, 13,066.58 and 3,514.37

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Solution

The fourth proportional to 8,714.57, 13,066.58 and 3,514.37 is: 5,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.57 : 13,066.58 = 3,514.37 : x
  2. Step 2: Convert to fraction form
    8,714.57/13,066.58 = 3,514.37/x
  3. Step 3: Cross multiply
    8,714.57x = 13,066.58 × 3,514.37
  4. Step 4: Simplify right side
    8,714.57x = 45,920,740.21
  5. Step 5: Solve for x
    x = 45,920,740.21/8,714.57
  6. Step 6: Final answer
    x = 5,269.42

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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.