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Finding the Fourth Proportional to 11,012.96, 15,197.76 and 5,977.16

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Solution

The fourth proportional to 11,012.96, 15,197.76 and 5,977.16 is: 8,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.96 : 15,197.76 = 5,977.16 : x
  2. Step 2: Convert to fraction form
    11,012.96/15,197.76 = 5,977.16/x
  3. Step 3: Cross multiply
    11,012.96x = 15,197.76 × 5,977.16
  4. Step 4: Simplify right side
    11,012.96x = 90,839,443.16
  5. Step 5: Solve for x
    x = 90,839,443.16/11,012.96
  6. Step 6: Final answer
    x = 8,248.41

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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.