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Finding the Fourth Proportional to 11,648.86, 16,076.52 and 7,175.23

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Solution

The fourth proportional to 11,648.86, 16,076.52 and 7,175.23 is: 9,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.86 : 16,076.52 = 7,175.23 : x
  2. Step 2: Convert to fraction form
    11,648.86/16,076.52 = 7,175.23/x
  3. Step 3: Cross multiply
    11,648.86x = 16,076.52 × 7,175.23
  4. Step 4: Simplify right side
    11,648.86x = 115,352,688.41
  5. Step 5: Solve for x
    x = 115,352,688.41/11,648.86
  6. Step 6: Final answer
    x = 9,902.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.