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Finding the Fourth Proportional to 10,146.12, 15,197.04 and 6,238.68

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Solution

The fourth proportional to 10,146.12, 15,197.04 and 6,238.68 is: 9,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.12 : 15,197.04 = 6,238.68 : x
  2. Step 2: Convert to fraction form
    10,146.12/15,197.04 = 6,238.68/x
  3. Step 3: Cross multiply
    10,146.12x = 15,197.04 × 6,238.68
  4. Step 4: Simplify right side
    10,146.12x = 94,809,469.51
  5. Step 5: Solve for x
    x = 94,809,469.51/10,146.12
  6. Step 6: Final answer
    x = 9,344.41

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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.