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Finding the Fourth Proportional to 8,346.34, 12,517.38 and 3,415.06

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Solution

The fourth proportional to 8,346.34, 12,517.38 and 3,415.06 is: 5,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.34 : 12,517.38 = 3,415.06 : x
  2. Step 2: Convert to fraction form
    8,346.34/12,517.38 = 3,415.06/x
  3. Step 3: Cross multiply
    8,346.34x = 12,517.38 × 3,415.06
  4. Step 4: Simplify right side
    8,346.34x = 42,747,603.74
  5. Step 5: Solve for x
    x = 42,747,603.74/8,346.34
  6. Step 6: Final answer
    x = 5,121.72

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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.