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Finding the Fourth Proportional to 11,776.79, 17,658.41 and 4,760.17

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Solution

The fourth proportional to 11,776.79, 17,658.41 and 4,760.17 is: 7,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.79 : 17,658.41 = 4,760.17 : x
  2. Step 2: Convert to fraction form
    11,776.79/17,658.41 = 4,760.17/x
  3. Step 3: Cross multiply
    11,776.79x = 17,658.41 × 4,760.17
  4. Step 4: Simplify right side
    11,776.79x = 84,056,965.58
  5. Step 5: Solve for x
    x = 84,056,965.58/11,776.79
  6. Step 6: Final answer
    x = 7,137.51

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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.