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Finding the Fourth Proportional to 8,189.98, 12,287.70 and 4,857.64

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Solution

The fourth proportional to 8,189.98, 12,287.70 and 4,857.64 is: 7,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.98 : 12,287.70 = 4,857.64 : x
  2. Step 2: Convert to fraction form
    8,189.98/12,287.70 = 4,857.64/x
  3. Step 3: Cross multiply
    8,189.98x = 12,287.70 × 4,857.64
  4. Step 4: Simplify right side
    8,189.98x = 59,689,192.31
  5. Step 5: Solve for x
    x = 59,689,192.31/8,189.98
  6. Step 6: Final answer
    x = 7,288.08

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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.