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Finding the Fourth Proportional to 10,969.16, 16,455.10 and 3,571.63

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Solution

The fourth proportional to 10,969.16, 16,455.10 and 3,571.63 is: 5,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.16 : 16,455.10 = 3,571.63 : x
  2. Step 2: Convert to fraction form
    10,969.16/16,455.10 = 3,571.63/x
  3. Step 3: Cross multiply
    10,969.16x = 16,455.10 × 3,571.63
  4. Step 4: Simplify right side
    10,969.16x = 58,771,478.75
  5. Step 5: Solve for x
    x = 58,771,478.75/10,969.16
  6. Step 6: Final answer
    x = 5,357.89

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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.