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Finding the Fourth Proportional to 11,774.01, 17,660.81 and 4,753.85

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Solution

The fourth proportional to 11,774.01, 17,660.81 and 4,753.85 is: 7,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.01 : 17,660.81 = 4,753.85 : x
  2. Step 2: Convert to fraction form
    11,774.01/17,660.81 = 4,753.85/x
  3. Step 3: Cross multiply
    11,774.01x = 17,660.81 × 4,753.85
  4. Step 4: Simplify right side
    11,774.01x = 83,956,729.55
  5. Step 5: Solve for x
    x = 83,956,729.55/11,774.01
  6. Step 6: Final answer
    x = 7,130.68

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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.