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Finding the Fourth Proportional to 10,969.74, 16,461.36 and 5,126.94

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Solution

The fourth proportional to 10,969.74, 16,461.36 and 5,126.94 is: 7,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.74 : 16,461.36 = 5,126.94 : x
  2. Step 2: Convert to fraction form
    10,969.74/16,461.36 = 5,126.94/x
  3. Step 3: Cross multiply
    10,969.74x = 16,461.36 × 5,126.94
  4. Step 4: Simplify right side
    10,969.74x = 84,396,405.04
  5. Step 5: Solve for x
    x = 84,396,405.04/10,969.74
  6. Step 6: Final answer
    x = 7,693.56

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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.