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Finding the Fourth Proportional to 8,546.40, 12,818.69 and 2,999.92

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Solution

The fourth proportional to 8,546.40, 12,818.69 and 2,999.92 is: 4,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.40 : 12,818.69 = 2,999.92 : x
  2. Step 2: Convert to fraction form
    8,546.40/12,818.69 = 2,999.92/x
  3. Step 3: Cross multiply
    8,546.40x = 12,818.69 × 2,999.92
  4. Step 4: Simplify right side
    8,546.40x = 38,455,044.50
  5. Step 5: Solve for x
    x = 38,455,044.50/8,546.40
  6. Step 6: Final answer
    x = 4,499.56

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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.