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Finding the Fourth Proportional to 11,825.80, 16,316.66 and 7,629

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Solution

The fourth proportional to 11,825.80, 16,316.66 and 7,629 is: 10,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.80 : 16,316.66 = 7,629 : x
  2. Step 2: Convert to fraction form
    11,825.80/16,316.66 = 7,629/x
  3. Step 3: Cross multiply
    11,825.80x = 16,316.66 × 7,629
  4. Step 4: Simplify right side
    11,825.80x = 124,479,799.14
  5. Step 5: Solve for x
    x = 124,479,799.14/11,825.80
  6. Step 6: Final answer
    x = 10,526.12

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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.