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Finding the Fourth Proportional to 8,538.60, 12,794.10 and 4,829.80

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Solution

The fourth proportional to 8,538.60, 12,794.10 and 4,829.80 is: 7,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.60 : 12,794.10 = 4,829.80 : x
  2. Step 2: Convert to fraction form
    8,538.60/12,794.10 = 4,829.80/x
  3. Step 3: Cross multiply
    8,538.60x = 12,794.10 × 4,829.80
  4. Step 4: Simplify right side
    8,538.60x = 61,792,944.18
  5. Step 5: Solve for x
    x = 61,792,944.18/8,538.60
  6. Step 6: Final answer
    x = 7,236.89

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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.