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Finding the Fourth Proportional to 10,846.74, 16,268.22 and 5,002.86

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Solution

The fourth proportional to 10,846.74, 16,268.22 and 5,002.86 is: 7,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.74 : 16,268.22 = 5,002.86 : x
  2. Step 2: Convert to fraction form
    10,846.74/16,268.22 = 5,002.86/x
  3. Step 3: Cross multiply
    10,846.74x = 16,268.22 × 5,002.86
  4. Step 4: Simplify right side
    10,846.74x = 81,387,627.11
  5. Step 5: Solve for x
    x = 81,387,627.11/10,846.74
  6. Step 6: Final answer
    x = 7,503.42

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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.