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Finding the Fourth Proportional to 8,534.30, 12,801.46 and 4,147.99

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Solution

The fourth proportional to 8,534.30, 12,801.46 and 4,147.99 is: 6,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.30 : 12,801.46 = 4,147.99 : x
  2. Step 2: Convert to fraction form
    8,534.30/12,801.46 = 4,147.99/x
  3. Step 3: Cross multiply
    8,534.30x = 12,801.46 × 4,147.99
  4. Step 4: Simplify right side
    8,534.30x = 53,100,285.69
  5. Step 5: Solve for x
    x = 53,100,285.69/8,534.30
  6. Step 6: Final answer
    x = 6,221.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.