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Finding the Fourth Proportional to 11,588.13, 15,992.62 and 7,338.74

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Solution

The fourth proportional to 11,588.13, 15,992.62 and 7,338.74 is: 10,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.13 : 15,992.62 = 7,338.74 : x
  2. Step 2: Convert to fraction form
    11,588.13/15,992.62 = 7,338.74/x
  3. Step 3: Cross multiply
    11,588.13x = 15,992.62 × 7,338.74
  4. Step 4: Simplify right side
    11,588.13x = 117,365,581.79
  5. Step 5: Solve for x
    x = 117,365,581.79/11,588.13
  6. Step 6: Final answer
    x = 10,128.09

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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.