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Finding the Fourth Proportional to 8,242.60, 12,358.44 and 4,546.60

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Solution

The fourth proportional to 8,242.60, 12,358.44 and 4,546.60 is: 6,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.60 : 12,358.44 = 4,546.60 : x
  2. Step 2: Convert to fraction form
    8,242.60/12,358.44 = 4,546.60/x
  3. Step 3: Cross multiply
    8,242.60x = 12,358.44 × 4,546.60
  4. Step 4: Simplify right side
    8,242.60x = 56,188,883.30
  5. Step 5: Solve for x
    x = 56,188,883.30/8,242.60
  6. Step 6: Final answer
    x = 6,816.89

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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.