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Finding the Fourth Proportional to 11,203.81, 16,801.72 and 3,706.00

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Solution

The fourth proportional to 11,203.81, 16,801.72 and 3,706.00 is: 5,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.81 : 16,801.72 = 3,706.00 : x
  2. Step 2: Convert to fraction form
    11,203.81/16,801.72 = 3,706.00/x
  3. Step 3: Cross multiply
    11,203.81x = 16,801.72 × 3,706.00
  4. Step 4: Simplify right side
    11,203.81x = 62,267,123.05
  5. Step 5: Solve for x
    x = 62,267,123.05/11,203.81
  6. Step 6: Final answer
    x = 5,557.68

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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.