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Finding the Fourth Proportional to 10,433.28, 15,659.07 and 5,506.23

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Solution

The fourth proportional to 10,433.28, 15,659.07 and 5,506.23 is: 8,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.28 : 15,659.07 = 5,506.23 : x
  2. Step 2: Convert to fraction form
    10,433.28/15,659.07 = 5,506.23/x
  3. Step 3: Cross multiply
    10,433.28x = 15,659.07 × 5,506.23
  4. Step 4: Simplify right side
    10,433.28x = 86,222,441.01
  5. Step 5: Solve for x
    x = 86,222,441.01/10,433.28
  6. Step 6: Final answer
    x = 8,264.17

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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.