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Finding the Fourth Proportional to 7,637.40, 11,449.24 and 3,252.46

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Solution

The fourth proportional to 7,637.40, 11,449.24 and 3,252.46 is: 4,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.40 : 11,449.24 = 3,252.46 : x
  2. Step 2: Convert to fraction form
    7,637.40/11,449.24 = 3,252.46/x
  3. Step 3: Cross multiply
    7,637.40x = 11,449.24 × 3,252.46
  4. Step 4: Simplify right side
    7,637.40x = 37,238,195.13
  5. Step 5: Solve for x
    x = 37,238,195.13/7,637.40
  6. Step 6: Final answer
    x = 4,875.77

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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.