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Finding the Fourth Proportional to 10,954.09, 16,406.43 and 7,681.83

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Solution

The fourth proportional to 10,954.09, 16,406.43 and 7,681.83 is: 11,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.09 : 16,406.43 = 7,681.83 : x
  2. Step 2: Convert to fraction form
    10,954.09/16,406.43 = 7,681.83/x
  3. Step 3: Cross multiply
    10,954.09x = 16,406.43 × 7,681.83
  4. Step 4: Simplify right side
    10,954.09x = 126,031,406.17
  5. Step 5: Solve for x
    x = 126,031,406.17/10,954.09
  6. Step 6: Final answer
    x = 11,505.42

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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.