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Finding the Fourth Proportional to 8,539.68, 11,784.60 and 4,813.68

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Solution

The fourth proportional to 8,539.68, 11,784.60 and 4,813.68 is: 6,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.68 : 11,784.60 = 4,813.68 : x
  2. Step 2: Convert to fraction form
    8,539.68/11,784.60 = 4,813.68/x
  3. Step 3: Cross multiply
    8,539.68x = 11,784.60 × 4,813.68
  4. Step 4: Simplify right side
    8,539.68x = 56,727,293.33
  5. Step 5: Solve for x
    x = 56,727,293.33/8,539.68
  6. Step 6: Final answer
    x = 6,642.79

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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.