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Finding the Fourth Proportional to 8,546.79, 12,811.22 and 4,793.06

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Solution

The fourth proportional to 8,546.79, 12,811.22 and 4,793.06 is: 7,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.79 : 12,811.22 = 4,793.06 : x
  2. Step 2: Convert to fraction form
    8,546.79/12,811.22 = 4,793.06/x
  3. Step 3: Cross multiply
    8,546.79x = 12,811.22 × 4,793.06
  4. Step 4: Simplify right side
    8,546.79x = 61,404,946.13
  5. Step 5: Solve for x
    x = 61,404,946.13/8,546.79
  6. Step 6: Final answer
    x = 7,184.56

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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.