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Finding the Fourth Proportional to 8,162.56, 12,244.50 and 2,616.64

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Solution

The fourth proportional to 8,162.56, 12,244.50 and 2,616.64 is: 3,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.56 : 12,244.50 = 2,616.64 : x
  2. Step 2: Convert to fraction form
    8,162.56/12,244.50 = 2,616.64/x
  3. Step 3: Cross multiply
    8,162.56x = 12,244.50 × 2,616.64
  4. Step 4: Simplify right side
    8,162.56x = 32,039,448.48
  5. Step 5: Solve for x
    x = 32,039,448.48/8,162.56
  6. Step 6: Final answer
    x = 3,925.17

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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.