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Finding the Fourth Proportional to 11,671.51, 16,102.10 and 7,187.49

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Solution

The fourth proportional to 11,671.51, 16,102.10 and 7,187.49 is: 9,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.51 : 16,102.10 = 7,187.49 : x
  2. Step 2: Convert to fraction form
    11,671.51/16,102.10 = 7,187.49/x
  3. Step 3: Cross multiply
    11,671.51x = 16,102.10 × 7,187.49
  4. Step 4: Simplify right side
    11,671.51x = 115,733,682.73
  5. Step 5: Solve for x
    x = 115,733,682.73/11,671.51
  6. Step 6: Final answer
    x = 9,915.91

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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.