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Finding the Fourth Proportional to 7,652.04, 11,478.06 and 2,461.56

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Solution

The fourth proportional to 7,652.04, 11,478.06 and 2,461.56 is: 3,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.04 : 11,478.06 = 2,461.56 : x
  2. Step 2: Convert to fraction form
    7,652.04/11,478.06 = 2,461.56/x
  3. Step 3: Cross multiply
    7,652.04x = 11,478.06 × 2,461.56
  4. Step 4: Simplify right side
    7,652.04x = 28,253,863.68
  5. Step 5: Solve for x
    x = 28,253,863.68/7,652.04
  6. Step 6: Final answer
    x = 3,692.33

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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.