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Finding the Fourth Proportional to 8,309.16, 12,464.12 and 3,376.24

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Solution

The fourth proportional to 8,309.16, 12,464.12 and 3,376.24 is: 5,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.16 : 12,464.12 = 3,376.24 : x
  2. Step 2: Convert to fraction form
    8,309.16/12,464.12 = 3,376.24/x
  3. Step 3: Cross multiply
    8,309.16x = 12,464.12 × 3,376.24
  4. Step 4: Simplify right side
    8,309.16x = 42,081,860.51
  5. Step 5: Solve for x
    x = 42,081,860.51/8,309.16
  6. Step 6: Final answer
    x = 5,064.51

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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.