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Finding the Fourth Proportional to 8,714.07, 13,078.79 and 4,768.97

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Solution

The fourth proportional to 8,714.07, 13,078.79 and 4,768.97 is: 7,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.07 : 13,078.79 = 4,768.97 : x
  2. Step 2: Convert to fraction form
    8,714.07/13,078.79 = 4,768.97/x
  3. Step 3: Cross multiply
    8,714.07x = 13,078.79 × 4,768.97
  4. Step 4: Simplify right side
    8,714.07x = 62,372,267.91
  5. Step 5: Solve for x
    x = 62,372,267.91/8,714.07
  6. Step 6: Final answer
    x = 7,157.65

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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.