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Finding the Fourth Proportional to 8,449.30, 11,660.34 and 4,672.63

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Solution

The fourth proportional to 8,449.30, 11,660.34 and 4,672.63 is: 6,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.30 : 11,660.34 = 4,672.63 : x
  2. Step 2: Convert to fraction form
    8,449.30/11,660.34 = 4,672.63/x
  3. Step 3: Cross multiply
    8,449.30x = 11,660.34 × 4,672.63
  4. Step 4: Simplify right side
    8,449.30x = 54,484,454.49
  5. Step 5: Solve for x
    x = 54,484,454.49/8,449.30
  6. Step 6: Final answer
    x = 6,448.40

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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.