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Finding the Fourth Proportional to 11,646.45, 16,074.32 and 6,933.33

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Solution

The fourth proportional to 11,646.45, 16,074.32 and 6,933.33 is: 9,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.45 : 16,074.32 = 6,933.33 : x
  2. Step 2: Convert to fraction form
    11,646.45/16,074.32 = 6,933.33/x
  3. Step 3: Cross multiply
    11,646.45x = 16,074.32 × 6,933.33
  4. Step 4: Simplify right side
    11,646.45x = 111,448,530.42
  5. Step 5: Solve for x
    x = 111,448,530.42/11,646.45
  6. Step 6: Final answer
    x = 9,569.31

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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.