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Finding the Fourth Proportional to 7,768.40, 11,652.60 and 2,574.80

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Solution

The fourth proportional to 7,768.40, 11,652.60 and 2,574.80 is: 3,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.40 : 11,652.60 = 2,574.80 : x
  2. Step 2: Convert to fraction form
    7,768.40/11,652.60 = 2,574.80/x
  3. Step 3: Cross multiply
    7,768.40x = 11,652.60 × 2,574.80
  4. Step 4: Simplify right side
    7,768.40x = 30,003,114.48
  5. Step 5: Solve for x
    x = 30,003,114.48/7,768.40
  6. Step 6: Final answer
    x = 3,862.20

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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.