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Finding the Fourth Proportional to 10,366.40, 15,544.92 and 2,969.17

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Solution

The fourth proportional to 10,366.40, 15,544.92 and 2,969.17 is: 4,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.40 : 15,544.92 = 2,969.17 : x
  2. Step 2: Convert to fraction form
    10,366.40/15,544.92 = 2,969.17/x
  3. Step 3: Cross multiply
    10,366.40x = 15,544.92 × 2,969.17
  4. Step 4: Simplify right side
    10,366.40x = 46,155,510.12
  5. Step 5: Solve for x
    x = 46,155,510.12/10,366.40
  6. Step 6: Final answer
    x = 4,452.41

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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.