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Finding the Fourth Proportional to 11,593.41, 15,998.93 and 6,288.25

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Solution

The fourth proportional to 11,593.41, 15,998.93 and 6,288.25 is: 8,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.41 : 15,998.93 = 6,288.25 : x
  2. Step 2: Convert to fraction form
    11,593.41/15,998.93 = 6,288.25/x
  3. Step 3: Cross multiply
    11,593.41x = 15,998.93 × 6,288.25
  4. Step 4: Simplify right side
    11,593.41x = 100,605,223.71
  5. Step 5: Solve for x
    x = 100,605,223.71/11,593.41
  6. Step 6: Final answer
    x = 8,677.79

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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.