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Finding the Fourth Proportional to 8,356.22, 12,529.46 and 3,162.50

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Solution

The fourth proportional to 8,356.22, 12,529.46 and 3,162.50 is: 4,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.22 : 12,529.46 = 3,162.50 : x
  2. Step 2: Convert to fraction form
    8,356.22/12,529.46 = 3,162.50/x
  3. Step 3: Cross multiply
    8,356.22x = 12,529.46 × 3,162.50
  4. Step 4: Simplify right side
    8,356.22x = 39,624,338.79
  5. Step 5: Solve for x
    x = 39,624,338.79/8,356.22
  6. Step 6: Final answer
    x = 4,741.90

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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.