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Finding the Fourth Proportional to 11,746, 17,623.44 and 7,593.92

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Solution

The fourth proportional to 11,746, 17,623.44 and 7,593.92 is: 11,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 17,623.44 = 7,593.92 : x
  2. Step 2: Convert to fraction form
    11,746/17,623.44 = 7,593.92/x
  3. Step 3: Cross multiply
    11,746x = 17,623.44 × 7,593.92
  4. Step 4: Simplify right side
    11,746x = 133,830,993.48
  5. Step 5: Solve for x
    x = 133,830,993.48/11,746
  6. Step 6: Final answer
    x = 11,393.75

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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.