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Finding the Fourth Proportional to 7,641.49, 11,461.40 and 2,446.69

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Solution

The fourth proportional to 7,641.49, 11,461.40 and 2,446.69 is: 3,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.49 : 11,461.40 = 2,446.69 : x
  2. Step 2: Convert to fraction form
    7,641.49/11,461.40 = 2,446.69/x
  3. Step 3: Cross multiply
    7,641.49x = 11,461.40 × 2,446.69
  4. Step 4: Simplify right side
    7,641.49x = 28,042,480.53
  5. Step 5: Solve for x
    x = 28,042,480.53/7,641.49
  6. Step 6: Final answer
    x = 3,669.77

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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.