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Finding the Fourth Proportional to 11,671.39, 16,106.61 and 6,366.16

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Solution

The fourth proportional to 11,671.39, 16,106.61 and 6,366.16 is: 8,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.39 : 16,106.61 = 6,366.16 : x
  2. Step 2: Convert to fraction form
    11,671.39/16,106.61 = 6,366.16/x
  3. Step 3: Cross multiply
    11,671.39x = 16,106.61 × 6,366.16
  4. Step 4: Simplify right side
    11,671.39x = 102,537,256.32
  5. Step 5: Solve for x
    x = 102,537,256.32/11,671.39
  6. Step 6: Final answer
    x = 8,785.35

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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.