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Finding the Fourth Proportional to 8,542.49, 12,814.01 and 2,999.69

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Solution

The fourth proportional to 8,542.49, 12,814.01 and 2,999.69 is: 4,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.49 : 12,814.01 = 2,999.69 : x
  2. Step 2: Convert to fraction form
    8,542.49/12,814.01 = 2,999.69/x
  3. Step 3: Cross multiply
    8,542.49x = 12,814.01 × 2,999.69
  4. Step 4: Simplify right side
    8,542.49x = 38,437,978.59
  5. Step 5: Solve for x
    x = 38,437,978.59/8,542.49
  6. Step 6: Final answer
    x = 4,499.62

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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.