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Finding the Fourth Proportional to 8,449.94, 11,654.07 and 6,457.34

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Solution

The fourth proportional to 8,449.94, 11,654.07 and 6,457.34 is: 8,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.94 : 11,654.07 = 6,457.34 : x
  2. Step 2: Convert to fraction form
    8,449.94/11,654.07 = 6,457.34/x
  3. Step 3: Cross multiply
    8,449.94x = 11,654.07 × 6,457.34
  4. Step 4: Simplify right side
    8,449.94x = 75,254,292.37
  5. Step 5: Solve for x
    x = 75,254,292.37/8,449.94
  6. Step 6: Final answer
    x = 8,905.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.