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Finding the Fourth Proportional to 7,732.68, 11,598.36 and 2,467.48

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Solution

The fourth proportional to 7,732.68, 11,598.36 and 2,467.48 is: 3,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.68 : 11,598.36 = 2,467.48 : x
  2. Step 2: Convert to fraction form
    7,732.68/11,598.36 = 2,467.48/x
  3. Step 3: Cross multiply
    7,732.68x = 11,598.36 × 2,467.48
  4. Step 4: Simplify right side
    7,732.68x = 28,618,692.34
  5. Step 5: Solve for x
    x = 28,618,692.34/7,732.68
  6. Step 6: Final answer
    x = 3,701.01

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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.