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Finding the Fourth Proportional to 8,714.51, 13,064.41 and 3,780.44

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Solution

The fourth proportional to 8,714.51, 13,064.41 and 3,780.44 is: 5,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.51 : 13,064.41 = 3,780.44 : x
  2. Step 2: Convert to fraction form
    8,714.51/13,064.41 = 3,780.44/x
  3. Step 3: Cross multiply
    8,714.51x = 13,064.41 × 3,780.44
  4. Step 4: Simplify right side
    8,714.51x = 49,389,218.14
  5. Step 5: Solve for x
    x = 49,389,218.14/8,714.51
  6. Step 6: Final answer
    x = 5,667.47

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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.