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Finding the Fourth Proportional to 11,292.50, 15,583.66 and 6,324.50

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Solution

The fourth proportional to 11,292.50, 15,583.66 and 6,324.50 is: 8,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.50 : 15,583.66 = 6,324.50 : x
  2. Step 2: Convert to fraction form
    11,292.50/15,583.66 = 6,324.50/x
  3. Step 3: Cross multiply
    11,292.50x = 15,583.66 × 6,324.50
  4. Step 4: Simplify right side
    11,292.50x = 98,558,857.67
  5. Step 5: Solve for x
    x = 98,558,857.67/11,292.50
  6. Step 6: Final answer
    x = 8,727.82

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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.