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Finding the Fourth Proportional to 8,468.18, 11,676.96 and 5,779.70

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Solution

The fourth proportional to 8,468.18, 11,676.96 and 5,779.70 is: 7,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.18 : 11,676.96 = 5,779.70 : x
  2. Step 2: Convert to fraction form
    8,468.18/11,676.96 = 5,779.70/x
  3. Step 3: Cross multiply
    8,468.18x = 11,676.96 × 5,779.70
  4. Step 4: Simplify right side
    8,468.18x = 67,489,325.71
  5. Step 5: Solve for x
    x = 67,489,325.71/8,468.18
  6. Step 6: Final answer
    x = 7,969.76

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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.