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Finding the Fourth Proportional to 8,402.09, 12,600.44 and 2,778.71

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Solution

The fourth proportional to 8,402.09, 12,600.44 and 2,778.71 is: 4,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.09 : 12,600.44 = 2,778.71 : x
  2. Step 2: Convert to fraction form
    8,402.09/12,600.44 = 2,778.71/x
  3. Step 3: Cross multiply
    8,402.09x = 12,600.44 × 2,778.71
  4. Step 4: Simplify right side
    8,402.09x = 35,012,968.63
  5. Step 5: Solve for x
    x = 35,012,968.63/8,402.09
  6. Step 6: Final answer
    x = 4,167.17

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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.