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Finding the Fourth Proportional to 11,782.68, 16,259.76 and 7,593.36

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Solution

The fourth proportional to 11,782.68, 16,259.76 and 7,593.36 is: 10,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.68 : 16,259.76 = 7,593.36 : x
  2. Step 2: Convert to fraction form
    11,782.68/16,259.76 = 7,593.36/x
  3. Step 3: Cross multiply
    11,782.68x = 16,259.76 × 7,593.36
  4. Step 4: Simplify right side
    11,782.68x = 123,466,211.19
  5. Step 5: Solve for x
    x = 123,466,211.19/11,782.68
  6. Step 6: Final answer
    x = 10,478.62

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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.