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Finding the Fourth Proportional to 11,671.61, 17,509.64 and 3,776.27

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Solution

The fourth proportional to 11,671.61, 17,509.64 and 3,776.27 is: 5,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.61 : 17,509.64 = 3,776.27 : x
  2. Step 2: Convert to fraction form
    11,671.61/17,509.64 = 3,776.27/x
  3. Step 3: Cross multiply
    11,671.61x = 17,509.64 × 3,776.27
  4. Step 4: Simplify right side
    11,671.61x = 66,121,128.24
  5. Step 5: Solve for x
    x = 66,121,128.24/11,671.61
  6. Step 6: Final answer
    x = 5,665.12

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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.