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Finding the Fourth Proportional to 8,678.34, 13,017.38 and 2,104.58

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Solution

The fourth proportional to 8,678.34, 13,017.38 and 2,104.58 is: 3,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.34 : 13,017.38 = 2,104.58 : x
  2. Step 2: Convert to fraction form
    8,678.34/13,017.38 = 2,104.58/x
  3. Step 3: Cross multiply
    8,678.34x = 13,017.38 × 2,104.58
  4. Step 4: Simplify right side
    8,678.34x = 27,396,112.34
  5. Step 5: Solve for x
    x = 27,396,112.34/8,678.34
  6. Step 6: Final answer
    x = 3,156.84

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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.