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Finding the Fourth Proportional to 10,139.88, 15,185.12 and 5,744

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Solution

The fourth proportional to 10,139.88, 15,185.12 and 5,744 is: 8,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.88 : 15,185.12 = 5,744 : x
  2. Step 2: Convert to fraction form
    10,139.88/15,185.12 = 5,744/x
  3. Step 3: Cross multiply
    10,139.88x = 15,185.12 × 5,744
  4. Step 4: Simplify right side
    10,139.88x = 87,223,329.28
  5. Step 5: Solve for x
    x = 87,223,329.28/10,139.88
  6. Step 6: Final answer
    x = 8,602.01

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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.