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Finding the Fourth Proportional to 8,461.74, 12,693.46 and 2,914.36

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Solution

The fourth proportional to 8,461.74, 12,693.46 and 2,914.36 is: 4,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.74 : 12,693.46 = 2,914.36 : x
  2. Step 2: Convert to fraction form
    8,461.74/12,693.46 = 2,914.36/x
  3. Step 3: Cross multiply
    8,461.74x = 12,693.46 × 2,914.36
  4. Step 4: Simplify right side
    8,461.74x = 36,993,312.09
  5. Step 5: Solve for x
    x = 36,993,312.09/8,461.74
  6. Step 6: Final answer
    x = 4,371.83

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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.