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Finding the Fourth Proportional to 10,969.78, 16,457.63 and 3,950.59

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Solution

The fourth proportional to 10,969.78, 16,457.63 and 3,950.59 is: 5,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.78 : 16,457.63 = 3,950.59 : x
  2. Step 2: Convert to fraction form
    10,969.78/16,457.63 = 3,950.59/x
  3. Step 3: Cross multiply
    10,969.78x = 16,457.63 × 3,950.59
  4. Step 4: Simplify right side
    10,969.78x = 65,017,348.50
  5. Step 5: Solve for x
    x = 65,017,348.50/10,969.78
  6. Step 6: Final answer
    x = 5,926.95

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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.