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Finding the Fourth Proportional to 11,291.68, 15,571.47 and 8,609.77

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Solution

The fourth proportional to 11,291.68, 15,571.47 and 8,609.77 is: 11,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.68 : 15,571.47 = 8,609.77 : x
  2. Step 2: Convert to fraction form
    11,291.68/15,571.47 = 8,609.77/x
  3. Step 3: Cross multiply
    11,291.68x = 15,571.47 × 8,609.77
  4. Step 4: Simplify right side
    11,291.68x = 134,066,775.26
  5. Step 5: Solve for x
    x = 134,066,775.26/11,291.68
  6. Step 6: Final answer
    x = 11,873.06

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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.