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Finding the Fourth Proportional to 11,884.93, 16,364.57 and 10,556.32

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Solution

The fourth proportional to 11,884.93, 16,364.57 and 10,556.32 is: 14,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.93 : 16,364.57 = 10,556.32 : x
  2. Step 2: Convert to fraction form
    11,884.93/16,364.57 = 10,556.32/x
  3. Step 3: Cross multiply
    11,884.93x = 16,364.57 × 10,556.32
  4. Step 4: Simplify right side
    11,884.93x = 172,749,637.58
  5. Step 5: Solve for x
    x = 172,749,637.58/11,884.93
  6. Step 6: Final answer
    x = 14,535.18

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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.