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Finding the Fourth Proportional to 8,346.32, 12,519.46 and 2,106.84

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Solution

The fourth proportional to 8,346.32, 12,519.46 and 2,106.84 is: 3,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.32 : 12,519.46 = 2,106.84 : x
  2. Step 2: Convert to fraction form
    8,346.32/12,519.46 = 2,106.84/x
  3. Step 3: Cross multiply
    8,346.32x = 12,519.46 × 2,106.84
  4. Step 4: Simplify right side
    8,346.32x = 26,376,443.05
  5. Step 5: Solve for x
    x = 26,376,443.05/8,346.32
  6. Step 6: Final answer
    x = 3,160.25

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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.