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Finding the Fourth Proportional to 8,299.50, 12,446.74 and 2,376.02

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Solution

The fourth proportional to 8,299.50, 12,446.74 and 2,376.02 is: 3,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.50 : 12,446.74 = 2,376.02 : x
  2. Step 2: Convert to fraction form
    8,299.50/12,446.74 = 2,376.02/x
  3. Step 3: Cross multiply
    8,299.50x = 12,446.74 × 2,376.02
  4. Step 4: Simplify right side
    8,299.50x = 29,573,703.17
  5. Step 5: Solve for x
    x = 29,573,703.17/8,299.50
  6. Step 6: Final answer
    x = 3,563.31

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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.