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Finding the Fourth Proportional to 7,683.60, 11,518.20 and 6,016.80

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Solution

The fourth proportional to 7,683.60, 11,518.20 and 6,016.80 is: 9,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.60 : 11,518.20 = 6,016.80 : x
  2. Step 2: Convert to fraction form
    7,683.60/11,518.20 = 6,016.80/x
  3. Step 3: Cross multiply
    7,683.60x = 11,518.20 × 6,016.80
  4. Step 4: Simplify right side
    7,683.60x = 69,302,705.76
  5. Step 5: Solve for x
    x = 69,302,705.76/7,683.60
  6. Step 6: Final answer
    x = 9,019.56

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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.