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Finding the Fourth Proportional to 10,969.83, 16,453.07 and 3,574.23

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Solution

The fourth proportional to 10,969.83, 16,453.07 and 3,574.23 is: 5,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.83 : 16,453.07 = 3,574.23 : x
  2. Step 2: Convert to fraction form
    10,969.83/16,453.07 = 3,574.23/x
  3. Step 3: Cross multiply
    10,969.83x = 16,453.07 × 3,574.23
  4. Step 4: Simplify right side
    10,969.83x = 58,807,038.51
  5. Step 5: Solve for x
    x = 58,807,038.51/10,969.83
  6. Step 6: Final answer
    x = 5,360.80

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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.