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Finding the Fourth Proportional to 8,546.64, 12,816.72 and 2,701.68

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Solution

The fourth proportional to 8,546.64, 12,816.72 and 2,701.68 is: 4,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.64 : 12,816.72 = 2,701.68 : x
  2. Step 2: Convert to fraction form
    8,546.64/12,816.72 = 2,701.68/x
  3. Step 3: Cross multiply
    8,546.64x = 12,816.72 × 2,701.68
  4. Step 4: Simplify right side
    8,546.64x = 34,626,676.09
  5. Step 5: Solve for x
    x = 34,626,676.09/8,546.64
  6. Step 6: Final answer
    x = 4,051.50

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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.