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Finding the Fourth Proportional to 11,776.53, 17,665.40 and 3,011.52

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Solution

The fourth proportional to 11,776.53, 17,665.40 and 3,011.52 is: 4,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.53 : 17,665.40 = 3,011.52 : x
  2. Step 2: Convert to fraction form
    11,776.53/17,665.40 = 3,011.52/x
  3. Step 3: Cross multiply
    11,776.53x = 17,665.40 × 3,011.52
  4. Step 4: Simplify right side
    11,776.53x = 53,199,712.94
  5. Step 5: Solve for x
    x = 53,199,712.94/11,776.53
  6. Step 6: Final answer
    x = 4,517.44

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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.