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Finding the Fourth Proportional to 11,102, 16,646.52 and 3,702.38

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Solution

The fourth proportional to 11,102, 16,646.52 and 3,702.38 is: 5,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102 : 16,646.52 = 3,702.38 : x
  2. Step 2: Convert to fraction form
    11,102/16,646.52 = 3,702.38/x
  3. Step 3: Cross multiply
    11,102x = 16,646.52 × 3,702.38
  4. Step 4: Simplify right side
    11,102x = 61,631,742.72
  5. Step 5: Solve for x
    x = 61,631,742.72/11,102
  6. Step 6: Final answer
    x = 5,551.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.