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Finding the Fourth Proportional to 11,292.63, 15,583.82 and 6,324.63

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Solution

The fourth proportional to 11,292.63, 15,583.82 and 6,324.63 is: 8,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.63 : 15,583.82 = 6,324.63 : x
  2. Step 2: Convert to fraction form
    11,292.63/15,583.82 = 6,324.63/x
  3. Step 3: Cross multiply
    11,292.63x = 15,583.82 × 6,324.63
  4. Step 4: Simplify right side
    11,292.63x = 98,561,895.49
  5. Step 5: Solve for x
    x = 98,561,895.49/11,292.63
  6. Step 6: Final answer
    x = 8,727.98

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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.