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Finding the Fourth Proportional to 8,541.76, 11,779.44 and 5,884.96

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Solution

The fourth proportional to 8,541.76, 11,779.44 and 5,884.96 is: 8,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.76 : 11,779.44 = 5,884.96 : x
  2. Step 2: Convert to fraction form
    8,541.76/11,779.44 = 5,884.96/x
  3. Step 3: Cross multiply
    8,541.76x = 11,779.44 × 5,884.96
  4. Step 4: Simplify right side
    8,541.76x = 69,321,533.22
  5. Step 5: Solve for x
    x = 69,321,533.22/8,541.76
  6. Step 6: Final answer
    x = 8,115.60

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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.