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Finding the Fourth Proportional to 11,043, 16,564.50 and 3,251.70

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Solution

The fourth proportional to 11,043, 16,564.50 and 3,251.70 is: 4,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043 : 16,564.50 = 3,251.70 : x
  2. Step 2: Convert to fraction form
    11,043/16,564.50 = 3,251.70/x
  3. Step 3: Cross multiply
    11,043x = 16,564.50 × 3,251.70
  4. Step 4: Simplify right side
    11,043x = 53,862,784.65
  5. Step 5: Solve for x
    x = 53,862,784.65/11,043
  6. Step 6: Final answer
    x = 4,877.55

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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.