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Finding the Fourth Proportional to 8,548.46, 12,823.06 and 2,624.92

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Solution

The fourth proportional to 8,548.46, 12,823.06 and 2,624.92 is: 3,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.46 : 12,823.06 = 2,624.92 : x
  2. Step 2: Convert to fraction form
    8,548.46/12,823.06 = 2,624.92/x
  3. Step 3: Cross multiply
    8,548.46x = 12,823.06 × 2,624.92
  4. Step 4: Simplify right side
    8,548.46x = 33,659,506.66
  5. Step 5: Solve for x
    x = 33,659,506.66/8,548.46
  6. Step 6: Final answer
    x = 3,937.49

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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.