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Finding the Fourth Proportional to 8,273.86, 12,412.68 and 2,430.94

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Solution

The fourth proportional to 8,273.86, 12,412.68 and 2,430.94 is: 3,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.86 : 12,412.68 = 2,430.94 : x
  2. Step 2: Convert to fraction form
    8,273.86/12,412.68 = 2,430.94/x
  3. Step 3: Cross multiply
    8,273.86x = 12,412.68 × 2,430.94
  4. Step 4: Simplify right side
    8,273.86x = 30,174,480.32
  5. Step 5: Solve for x
    x = 30,174,480.32/8,273.86
  6. Step 6: Final answer
    x = 3,646.97

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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.