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Finding the Fourth Proportional to 11,706.66, 17,558.64 and 2,940.91

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Solution

The fourth proportional to 11,706.66, 17,558.64 and 2,940.91 is: 4,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.66 : 17,558.64 = 2,940.91 : x
  2. Step 2: Convert to fraction form
    11,706.66/17,558.64 = 2,940.91/x
  3. Step 3: Cross multiply
    11,706.66x = 17,558.64 × 2,940.91
  4. Step 4: Simplify right side
    11,706.66x = 51,638,336.07
  5. Step 5: Solve for x
    x = 51,638,336.07/11,706.66
  6. Step 6: Final answer
    x = 4,411.02

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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.