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Finding the Fourth Proportional to 11,608.11, 16,032.47 and 7,646.87

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Solution

The fourth proportional to 11,608.11, 16,032.47 and 7,646.87 is: 10,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.11 : 16,032.47 = 7,646.87 : x
  2. Step 2: Convert to fraction form
    11,608.11/16,032.47 = 7,646.87/x
  3. Step 3: Cross multiply
    11,608.11x = 16,032.47 × 7,646.87
  4. Step 4: Simplify right side
    11,608.11x = 122,598,215.72
  5. Step 5: Solve for x
    x = 122,598,215.72/11,608.11
  6. Step 6: Final answer
    x = 10,561.43

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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.