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Finding the Fourth Proportional to 11,671.26, 16,106.25 and 6,366.30

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Solution

The fourth proportional to 11,671.26, 16,106.25 and 6,366.30 is: 8,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.26 : 16,106.25 = 6,366.30 : x
  2. Step 2: Convert to fraction form
    11,671.26/16,106.25 = 6,366.30/x
  3. Step 3: Cross multiply
    11,671.26x = 16,106.25 × 6,366.30
  4. Step 4: Simplify right side
    11,671.26x = 102,537,219.38
  5. Step 5: Solve for x
    x = 102,537,219.38/11,671.26
  6. Step 6: Final answer
    x = 8,785.45

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Why These Related Problems?

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