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Finding the Fourth Proportional to 11,845.60, 16,347.72 and 6,811.48

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Solution

The fourth proportional to 11,845.60, 16,347.72 and 6,811.48 is: 9,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.60 : 16,347.72 = 6,811.48 : x
  2. Step 2: Convert to fraction form
    11,845.60/16,347.72 = 6,811.48/x
  3. Step 3: Cross multiply
    11,845.60x = 16,347.72 × 6,811.48
  4. Step 4: Simplify right side
    11,845.60x = 111,352,167.83
  5. Step 5: Solve for x
    x = 111,352,167.83/11,845.60
  6. Step 6: Final answer
    x = 9,400.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.