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Finding the Fourth Proportional to 11,133.86, 16,703.62 and 8,207.15

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Solution

The fourth proportional to 11,133.86, 16,703.62 and 8,207.15 is: 12,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.86 : 16,703.62 = 8,207.15 : x
  2. Step 2: Convert to fraction form
    11,133.86/16,703.62 = 8,207.15/x
  3. Step 3: Cross multiply
    11,133.86x = 16,703.62 × 8,207.15
  4. Step 4: Simplify right side
    11,133.86x = 137,089,010.85
  5. Step 5: Solve for x
    x = 137,089,010.85/11,133.86
  6. Step 6: Final answer
    x = 12,312.81

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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.