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Finding the Fourth Proportional to 11,548.80, 15,937.60 and 6,512.80

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Solution

The fourth proportional to 11,548.80, 15,937.60 and 6,512.80 is: 8,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.80 : 15,937.60 = 6,512.80 : x
  2. Step 2: Convert to fraction form
    11,548.80/15,937.60 = 6,512.80/x
  3. Step 3: Cross multiply
    11,548.80x = 15,937.60 × 6,512.80
  4. Step 4: Simplify right side
    11,548.80x = 103,798,401.28
  5. Step 5: Solve for x
    x = 103,798,401.28/11,548.80
  6. Step 6: Final answer
    x = 8,987.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.