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Finding the Fourth Proportional to 11,746, 17,614.76 and 5,504.96

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Solution

The fourth proportional to 11,746, 17,614.76 and 5,504.96 is: 8,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 17,614.76 = 5,504.96 : x
  2. Step 2: Convert to fraction form
    11,746/17,614.76 = 5,504.96/x
  3. Step 3: Cross multiply
    11,746x = 17,614.76 × 5,504.96
  4. Step 4: Simplify right side
    11,746x = 96,968,549.21
  5. Step 5: Solve for x
    x = 96,968,549.21/11,746
  6. Step 6: Final answer
    x = 8,255.45

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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.