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Finding the Fourth Proportional to 8,546.58, 12,822.42 and 2,703.24

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Solution

The fourth proportional to 8,546.58, 12,822.42 and 2,703.24 is: 4,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.58 : 12,822.42 = 2,703.24 : x
  2. Step 2: Convert to fraction form
    8,546.58/12,822.42 = 2,703.24/x
  3. Step 3: Cross multiply
    8,546.58x = 12,822.42 × 2,703.24
  4. Step 4: Simplify right side
    8,546.58x = 34,662,078.64
  5. Step 5: Solve for x
    x = 34,662,078.64/8,546.58
  6. Step 6: Final answer
    x = 4,055.67

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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.