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Finding the Fourth Proportional to 11,650.72, 16,080.16 and 10,938.58

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Solution

The fourth proportional to 11,650.72, 16,080.16 and 10,938.58 is: 15,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.72 : 16,080.16 = 10,938.58 : x
  2. Step 2: Convert to fraction form
    11,650.72/16,080.16 = 10,938.58/x
  3. Step 3: Cross multiply
    11,650.72x = 16,080.16 × 10,938.58
  4. Step 4: Simplify right side
    11,650.72x = 175,894,116.57
  5. Step 5: Solve for x
    x = 175,894,116.57/11,650.72
  6. Step 6: Final answer
    x = 15,097.27

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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.