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Finding the Fourth Proportional to 11,575.96, 17,363.94 and 2,810.86

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Solution

The fourth proportional to 11,575.96, 17,363.94 and 2,810.86 is: 4,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.96 : 17,363.94 = 2,810.86 : x
  2. Step 2: Convert to fraction form
    11,575.96/17,363.94 = 2,810.86/x
  3. Step 3: Cross multiply
    11,575.96x = 17,363.94 × 2,810.86
  4. Step 4: Simplify right side
    11,575.96x = 48,807,604.39
  5. Step 5: Solve for x
    x = 48,807,604.39/11,575.96
  6. Step 6: Final answer
    x = 4,216.29

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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.