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Finding the Fourth Proportional to 6,842.50, 10,259.66 and 3,325.60

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Solution

The fourth proportional to 6,842.50, 10,259.66 and 3,325.60 is: 4,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.50 : 10,259.66 = 3,325.60 : x
  2. Step 2: Convert to fraction form
    6,842.50/10,259.66 = 3,325.60/x
  3. Step 3: Cross multiply
    6,842.50x = 10,259.66 × 3,325.60
  4. Step 4: Simplify right side
    6,842.50x = 34,119,525.30
  5. Step 5: Solve for x
    x = 34,119,525.30/6,842.50
  6. Step 6: Final answer
    x = 4,986.41

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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.