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Finding the Fourth Proportional to 10,760.40, 16,141.53 and 2,969.21

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Solution

The fourth proportional to 10,760.40, 16,141.53 and 2,969.21 is: 4,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.40 : 16,141.53 = 2,969.21 : x
  2. Step 2: Convert to fraction form
    10,760.40/16,141.53 = 2,969.21/x
  3. Step 3: Cross multiply
    10,760.40x = 16,141.53 × 2,969.21
  4. Step 4: Simplify right side
    10,760.40x = 47,927,577.45
  5. Step 5: Solve for x
    x = 47,927,577.45/10,760.40
  6. Step 6: Final answer
    x = 4,454.07

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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.