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Finding the Fourth Proportional to 8,539.77, 12,804.99 and 3,854.28

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Solution

The fourth proportional to 8,539.77, 12,804.99 and 3,854.28 is: 5,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.77 : 12,804.99 = 3,854.28 : x
  2. Step 2: Convert to fraction form
    8,539.77/12,804.99 = 3,854.28/x
  3. Step 3: Cross multiply
    8,539.77x = 12,804.99 × 3,854.28
  4. Step 4: Simplify right side
    8,539.77x = 49,354,016.86
  5. Step 5: Solve for x
    x = 49,354,016.86/8,539.77
  6. Step 6: Final answer
    x = 5,779.31

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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.