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Finding the Fourth Proportional to 8,739.50, 13,111.41 and 2,583.50

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Solution

The fourth proportional to 8,739.50, 13,111.41 and 2,583.50 is: 3,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.50 : 13,111.41 = 2,583.50 : x
  2. Step 2: Convert to fraction form
    8,739.50/13,111.41 = 2,583.50/x
  3. Step 3: Cross multiply
    8,739.50x = 13,111.41 × 2,583.50
  4. Step 4: Simplify right side
    8,739.50x = 33,873,327.74
  5. Step 5: Solve for x
    x = 33,873,327.74/8,739.50
  6. Step 6: Final answer
    x = 3,875.89

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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.