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Finding the Fourth Proportional to 8,714.51, 13,064.41 and 3,780.43

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Solution

The fourth proportional to 8,714.51, 13,064.41 and 3,780.43 is: 5,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.51 : 13,064.41 = 3,780.43 : x
  2. Step 2: Convert to fraction form
    8,714.51/13,064.41 = 3,780.43/x
  3. Step 3: Cross multiply
    8,714.51x = 13,064.41 × 3,780.43
  4. Step 4: Simplify right side
    8,714.51x = 49,389,087.50
  5. Step 5: Solve for x
    x = 49,389,087.50/8,714.51
  6. Step 6: Final answer
    x = 5,667.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.