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Finding the Fourth Proportional to 11,787.55, 17,683.80 and 3,466.87

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Solution

The fourth proportional to 11,787.55, 17,683.80 and 3,466.87 is: 5,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.55 : 17,683.80 = 3,466.87 : x
  2. Step 2: Convert to fraction form
    11,787.55/17,683.80 = 3,466.87/x
  3. Step 3: Cross multiply
    11,787.55x = 17,683.80 × 3,466.87
  4. Step 4: Simplify right side
    11,787.55x = 61,307,329.95
  5. Step 5: Solve for x
    x = 61,307,329.95/11,787.55
  6. Step 6: Final answer
    x = 5,201.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.