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Finding the Fourth Proportional to 7,641.49, 11,463.25 and 3,023.41

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Solution

The fourth proportional to 7,641.49, 11,463.25 and 3,023.41 is: 4,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.49 : 11,463.25 = 3,023.41 : x
  2. Step 2: Convert to fraction form
    7,641.49/11,463.25 = 3,023.41/x
  3. Step 3: Cross multiply
    7,641.49x = 11,463.25 × 3,023.41
  4. Step 4: Simplify right side
    7,641.49x = 34,658,039.81
  5. Step 5: Solve for x
    x = 34,658,039.81/7,641.49
  6. Step 6: Final answer
    x = 4,535.51

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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.