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Finding the Fourth Proportional to 11,892.64, 17,825.76 and 6,037.12

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Solution

The fourth proportional to 11,892.64, 17,825.76 and 6,037.12 is: 9,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.64 : 17,825.76 = 6,037.12 : x
  2. Step 2: Convert to fraction form
    11,892.64/17,825.76 = 6,037.12/x
  3. Step 3: Cross multiply
    11,892.64x = 17,825.76 × 6,037.12
  4. Step 4: Simplify right side
    11,892.64x = 107,616,252.21
  5. Step 5: Solve for x
    x = 107,616,252.21/11,892.64
  6. Step 6: Final answer
    x = 9,048.98

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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.