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Finding the Fourth Proportional to 11,671.54, 16,106.12 and 6,635.10

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Solution

The fourth proportional to 11,671.54, 16,106.12 and 6,635.10 is: 9,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.54 : 16,106.12 = 6,635.10 : x
  2. Step 2: Convert to fraction form
    11,671.54/16,106.12 = 6,635.10/x
  3. Step 3: Cross multiply
    11,671.54x = 16,106.12 × 6,635.10
  4. Step 4: Simplify right side
    11,671.54x = 106,865,716.81
  5. Step 5: Solve for x
    x = 106,865,716.81/11,671.54
  6. Step 6: Final answer
    x = 9,156.09

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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.