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Finding the Fourth Proportional to 8,714.16, 13,072.86 and 3,523.68

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Solution

The fourth proportional to 8,714.16, 13,072.86 and 3,523.68 is: 5,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.16 : 13,072.86 = 3,523.68 : x
  2. Step 2: Convert to fraction form
    8,714.16/13,072.86 = 3,523.68/x
  3. Step 3: Cross multiply
    8,714.16x = 13,072.86 × 3,523.68
  4. Step 4: Simplify right side
    8,714.16x = 46,064,575.32
  5. Step 5: Solve for x
    x = 46,064,575.32/8,714.16
  6. Step 6: Final answer
    x = 5,286.18

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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.