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Finding the Fourth Proportional to 8,534.39, 12,801.62 and 4,148.09

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Solution

The fourth proportional to 8,534.39, 12,801.62 and 4,148.09 is: 6,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.39 : 12,801.62 = 4,148.09 : x
  2. Step 2: Convert to fraction form
    8,534.39/12,801.62 = 4,148.09/x
  3. Step 3: Cross multiply
    8,534.39x = 12,801.62 × 4,148.09
  4. Step 4: Simplify right side
    8,534.39x = 53,102,218.60
  5. Step 5: Solve for x
    x = 53,102,218.60/8,534.39
  6. Step 6: Final answer
    x = 6,222.15

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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.