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Finding the Fourth Proportional to 7,637.99, 11,457.27 and 3,252.44

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Solution

The fourth proportional to 7,637.99, 11,457.27 and 3,252.44 is: 4,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.99 : 11,457.27 = 3,252.44 : x
  2. Step 2: Convert to fraction form
    7,637.99/11,457.27 = 3,252.44/x
  3. Step 3: Cross multiply
    7,637.99x = 11,457.27 × 3,252.44
  4. Step 4: Simplify right side
    7,637.99x = 37,264,025.95
  5. Step 5: Solve for x
    x = 37,264,025.95/7,637.99
  6. Step 6: Final answer
    x = 4,878.78

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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.