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Finding the Fourth Proportional to 11,012.74, 15,197.70 and 5,977.01

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Solution

The fourth proportional to 11,012.74, 15,197.70 and 5,977.01 is: 8,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.74 : 15,197.70 = 5,977.01 : x
  2. Step 2: Convert to fraction form
    11,012.74/15,197.70 = 5,977.01/x
  3. Step 3: Cross multiply
    11,012.74x = 15,197.70 × 5,977.01
  4. Step 4: Simplify right side
    11,012.74x = 90,836,804.88
  5. Step 5: Solve for x
    x = 90,836,804.88/11,012.74
  6. Step 6: Final answer
    x = 8,248.34

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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.