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Finding the Fourth Proportional to 11,671.12, 16,106.52 and 6,366.16

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Solution

The fourth proportional to 11,671.12, 16,106.52 and 6,366.16 is: 8,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.12 : 16,106.52 = 6,366.16 : x
  2. Step 2: Convert to fraction form
    11,671.12/16,106.52 = 6,366.16/x
  3. Step 3: Cross multiply
    11,671.12x = 16,106.52 × 6,366.16
  4. Step 4: Simplify right side
    11,671.12x = 102,536,683.36
  5. Step 5: Solve for x
    x = 102,536,683.36/11,671.12
  6. Step 6: Final answer
    x = 8,785.51

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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.