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Finding the Fourth Proportional to 8,346.04, 12,508.12 and 3,410.05

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Solution

The fourth proportional to 8,346.04, 12,508.12 and 3,410.05 is: 5,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.04 : 12,508.12 = 3,410.05 : x
  2. Step 2: Convert to fraction form
    8,346.04/12,508.12 = 3,410.05/x
  3. Step 3: Cross multiply
    8,346.04x = 12,508.12 × 3,410.05
  4. Step 4: Simplify right side
    8,346.04x = 42,653,311.05
  5. Step 5: Solve for x
    x = 42,653,311.05/8,346.04
  6. Step 6: Final answer
    x = 5,110.61

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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.