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Finding the Fourth Proportional to 11,577.88, 15,985.38 and 7,391.80

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Solution

The fourth proportional to 11,577.88, 15,985.38 and 7,391.80 is: 10,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.88 : 15,985.38 = 7,391.80 : x
  2. Step 2: Convert to fraction form
    11,577.88/15,985.38 = 7,391.80/x
  3. Step 3: Cross multiply
    11,577.88x = 15,985.38 × 7,391.80
  4. Step 4: Simplify right side
    11,577.88x = 118,160,731.88
  5. Step 5: Solve for x
    x = 118,160,731.88/11,577.88
  6. Step 6: Final answer
    x = 10,205.73

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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.