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Finding the Fourth Proportional to 11,177.60, 16,779.20 and 6,563.20

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Solution

The fourth proportional to 11,177.60, 16,779.20 and 6,563.20 is: 9,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.60 : 16,779.20 = 6,563.20 : x
  2. Step 2: Convert to fraction form
    11,177.60/16,779.20 = 6,563.20/x
  3. Step 3: Cross multiply
    11,177.60x = 16,779.20 × 6,563.20
  4. Step 4: Simplify right side
    11,177.60x = 110,125,245.44
  5. Step 5: Solve for x
    x = 110,125,245.44/11,177.60
  6. Step 6: Final answer
    x = 9,852.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.