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Finding the Fourth Proportional to 7,644.93, 10,549.38 and 4,287.29

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Solution

The fourth proportional to 7,644.93, 10,549.38 and 4,287.29 is: 5,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.93 : 10,549.38 = 4,287.29 : x
  2. Step 2: Convert to fraction form
    7,644.93/10,549.38 = 4,287.29/x
  3. Step 3: Cross multiply
    7,644.93x = 10,549.38 × 4,287.29
  4. Step 4: Simplify right side
    7,644.93x = 45,228,198.63
  5. Step 5: Solve for x
    x = 45,228,198.63/7,644.93
  6. Step 6: Final answer
    x = 5,916.10

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Why These Related Problems?

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