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Finding the Fourth Proportional to 11,785.68, 16,257.33 and 7,593.93

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Solution

The fourth proportional to 11,785.68, 16,257.33 and 7,593.93 is: 10,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.68 : 16,257.33 = 7,593.93 : x
  2. Step 2: Convert to fraction form
    11,785.68/16,257.33 = 7,593.93/x
  3. Step 3: Cross multiply
    11,785.68x = 16,257.33 × 7,593.93
  4. Step 4: Simplify right side
    11,785.68x = 123,457,026.01
  5. Step 5: Solve for x
    x = 123,457,026.01/11,785.68
  6. Step 6: Final answer
    x = 10,475.17

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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.