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Finding the Fourth Proportional to 11,776.28, 17,648.01 and 8,851.16

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Solution

The fourth proportional to 11,776.28, 17,648.01 and 8,851.16 is: 13,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.28 : 17,648.01 = 8,851.16 : x
  2. Step 2: Convert to fraction form
    11,776.28/17,648.01 = 8,851.16/x
  3. Step 3: Cross multiply
    11,776.28x = 17,648.01 × 8,851.16
  4. Step 4: Simplify right side
    11,776.28x = 156,205,404.31
  5. Step 5: Solve for x
    x = 156,205,404.31/11,776.28
  6. Step 6: Final answer
    x = 13,264.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.