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Finding the Fourth Proportional to 11,706.66, 16,153.38 and 6,671.10

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Solution

The fourth proportional to 11,706.66, 16,153.38 and 6,671.10 is: 9,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.66 : 16,153.38 = 6,671.10 : x
  2. Step 2: Convert to fraction form
    11,706.66/16,153.38 = 6,671.10/x
  3. Step 3: Cross multiply
    11,706.66x = 16,153.38 × 6,671.10
  4. Step 4: Simplify right side
    11,706.66x = 107,760,749.23
  5. Step 5: Solve for x
    x = 107,760,749.23/11,706.66
  6. Step 6: Final answer
    x = 9,205.08

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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.