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Finding the Fourth Proportional to 11,805.86, 17,711.76 and 4,014.74

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Solution

The fourth proportional to 11,805.86, 17,711.76 and 4,014.74 is: 6,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.86 : 17,711.76 = 4,014.74 : x
  2. Step 2: Convert to fraction form
    11,805.86/17,711.76 = 4,014.74/x
  3. Step 3: Cross multiply
    11,805.86x = 17,711.76 × 4,014.74
  4. Step 4: Simplify right side
    11,805.86x = 71,108,111.34
  5. Step 5: Solve for x
    x = 71,108,111.34/11,805.86
  6. Step 6: Final answer
    x = 6,023.12

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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.