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Finding the Fourth Proportional to 7,722.60, 11,583.90 and 6,556.20

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Solution

The fourth proportional to 7,722.60, 11,583.90 and 6,556.20 is: 9,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.60 : 11,583.90 = 6,556.20 : x
  2. Step 2: Convert to fraction form
    7,722.60/11,583.90 = 6,556.20/x
  3. Step 3: Cross multiply
    7,722.60x = 11,583.90 × 6,556.20
  4. Step 4: Simplify right side
    7,722.60x = 75,946,365.18
  5. Step 5: Solve for x
    x = 75,946,365.18/7,722.60
  6. Step 6: Final answer
    x = 9,834.30

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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.