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Finding the Fourth Proportional to 11,102.60, 16,629.60 and 9,644.60

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Solution

The fourth proportional to 11,102.60, 16,629.60 and 9,644.60 is: 14,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.60 : 16,629.60 = 9,644.60 : x
  2. Step 2: Convert to fraction form
    11,102.60/16,629.60 = 9,644.60/x
  3. Step 3: Cross multiply
    11,102.60x = 16,629.60 × 9,644.60
  4. Step 4: Simplify right side
    11,102.60x = 160,385,840.16
  5. Step 5: Solve for x
    x = 160,385,840.16/11,102.60
  6. Step 6: Final answer
    x = 14,445.79

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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.