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Finding the Fourth Proportional to 11,747.86, 16,211.52 and 7,034.74

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Solution

The fourth proportional to 11,747.86, 16,211.52 and 7,034.74 is: 9,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.86 : 16,211.52 = 7,034.74 : x
  2. Step 2: Convert to fraction form
    11,747.86/16,211.52 = 7,034.74/x
  3. Step 3: Cross multiply
    11,747.86x = 16,211.52 × 7,034.74
  4. Step 4: Simplify right side
    11,747.86x = 114,043,828.20
  5. Step 5: Solve for x
    x = 114,043,828.20/11,747.86
  6. Step 6: Final answer
    x = 9,707.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.