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Finding the Fourth Proportional to 11,135.51, 16,698.05 and 6,456.84

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Solution

The fourth proportional to 11,135.51, 16,698.05 and 6,456.84 is: 9,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.51 : 16,698.05 = 6,456.84 : x
  2. Step 2: Convert to fraction form
    11,135.51/16,698.05 = 6,456.84/x
  3. Step 3: Cross multiply
    11,135.51x = 16,698.05 × 6,456.84
  4. Step 4: Simplify right side
    11,135.51x = 107,816,604.88
  5. Step 5: Solve for x
    x = 107,816,604.88/11,135.51
  6. Step 6: Final answer
    x = 9,682.24

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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.