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Finding the Fourth Proportional to 8,539.73, 11,784.58 and 4,763

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Solution

The fourth proportional to 8,539.73, 11,784.58 and 4,763 is: 6,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.73 : 11,784.58 = 4,763 : x
  2. Step 2: Convert to fraction form
    8,539.73/11,784.58 = 4,763/x
  3. Step 3: Cross multiply
    8,539.73x = 11,784.58 × 4,763
  4. Step 4: Simplify right side
    8,539.73x = 56,129,954.54
  5. Step 5: Solve for x
    x = 56,129,954.54/8,539.73
  6. Step 6: Final answer
    x = 6,572.80

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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.