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Finding the Fourth Proportional to 11,818.77, 16,308.90 and 6,782.89

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Solution

The fourth proportional to 11,818.77, 16,308.90 and 6,782.89 is: 9,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.77 : 16,308.90 = 6,782.89 : x
  2. Step 2: Convert to fraction form
    11,818.77/16,308.90 = 6,782.89/x
  3. Step 3: Cross multiply
    11,818.77x = 16,308.90 × 6,782.89
  4. Step 4: Simplify right side
    11,818.77x = 110,621,474.72
  5. Step 5: Solve for x
    x = 110,621,474.72/11,818.77
  6. Step 6: Final answer
    x = 9,359.81

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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.