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Finding the Fourth Proportional to 11,203.60, 16,804.71 and 4,961.80

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Solution

The fourth proportional to 11,203.60, 16,804.71 and 4,961.80 is: 7,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.60 : 16,804.71 = 4,961.80 : x
  2. Step 2: Convert to fraction form
    11,203.60/16,804.71 = 4,961.80/x
  3. Step 3: Cross multiply
    11,203.60x = 16,804.71 × 4,961.80
  4. Step 4: Simplify right side
    11,203.60x = 83,381,610.08
  5. Step 5: Solve for x
    x = 83,381,610.08/11,203.60
  6. Step 6: Final answer
    x = 7,442.39

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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.