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Finding the Fourth Proportional to 7,641.49, 11,458.60 and 2,963.68

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Solution

The fourth proportional to 7,641.49, 11,458.60 and 2,963.68 is: 4,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.49 : 11,458.60 = 2,963.68 : x
  2. Step 2: Convert to fraction form
    7,641.49/11,458.60 = 2,963.68/x
  3. Step 3: Cross multiply
    7,641.49x = 11,458.60 × 2,963.68
  4. Step 4: Simplify right side
    7,641.49x = 33,959,623.65
  5. Step 5: Solve for x
    x = 33,959,623.65/7,641.49
  6. Step 6: Final answer
    x = 4,444.11

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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.