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Finding the Fourth Proportional to 11,135.96, 16,703.93 and 4,562.16

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Solution

The fourth proportional to 11,135.96, 16,703.93 and 4,562.16 is: 6,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.96 : 16,703.93 = 4,562.16 : x
  2. Step 2: Convert to fraction form
    11,135.96/16,703.93 = 4,562.16/x
  3. Step 3: Cross multiply
    11,135.96x = 16,703.93 × 4,562.16
  4. Step 4: Simplify right side
    11,135.96x = 76,206,012.69
  5. Step 5: Solve for x
    x = 76,206,012.69/11,135.96
  6. Step 6: Final answer
    x = 6,843.24

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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.