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Finding the Fourth Proportional to 11,453.75, 15,808.67 and 6,674.48

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Solution

The fourth proportional to 11,453.75, 15,808.67 and 6,674.48 is: 9,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.75 : 15,808.67 = 6,674.48 : x
  2. Step 2: Convert to fraction form
    11,453.75/15,808.67 = 6,674.48/x
  3. Step 3: Cross multiply
    11,453.75x = 15,808.67 × 6,674.48
  4. Step 4: Simplify right side
    11,453.75x = 105,514,651.74
  5. Step 5: Solve for x
    x = 105,514,651.74/11,453.75
  6. Step 6: Final answer
    x = 9,212.24

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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.