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Finding the Fourth Proportional to 7,640.65, 10,548.46 and 5,844.82

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Solution

The fourth proportional to 7,640.65, 10,548.46 and 5,844.82 is: 8,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.65 : 10,548.46 = 5,844.82 : x
  2. Step 2: Convert to fraction form
    7,640.65/10,548.46 = 5,844.82/x
  3. Step 3: Cross multiply
    7,640.65x = 10,548.46 × 5,844.82
  4. Step 4: Simplify right side
    7,640.65x = 61,653,797.23
  5. Step 5: Solve for x
    x = 61,653,797.23/7,640.65
  6. Step 6: Final answer
    x = 8,069.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.