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Finding the Fourth Proportional to 11,646.18, 16,074.99 and 7,169.31

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Solution

The fourth proportional to 11,646.18, 16,074.99 and 7,169.31 is: 9,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.18 : 16,074.99 = 7,169.31 : x
  2. Step 2: Convert to fraction form
    11,646.18/16,074.99 = 7,169.31/x
  3. Step 3: Cross multiply
    11,646.18x = 16,074.99 × 7,169.31
  4. Step 4: Simplify right side
    11,646.18x = 115,246,586.56
  5. Step 5: Solve for x
    x = 115,246,586.56/11,646.18
  6. Step 6: Final answer
    x = 9,895.66

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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.