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Finding the Fourth Proportional to 11,292.27, 15,583.03 and 6,512.10

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Solution

The fourth proportional to 11,292.27, 15,583.03 and 6,512.10 is: 8,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.27 : 15,583.03 = 6,512.10 : x
  2. Step 2: Convert to fraction form
    11,292.27/15,583.03 = 6,512.10/x
  3. Step 3: Cross multiply
    11,292.27x = 15,583.03 × 6,512.10
  4. Step 4: Simplify right side
    11,292.27x = 101,478,249.66
  5. Step 5: Solve for x
    x = 101,478,249.66/11,292.27
  6. Step 6: Final answer
    x = 8,986.52

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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.