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Finding the Fourth Proportional to 7,643.34, 10,548.31 and 4,286.37

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Solution

The fourth proportional to 7,643.34, 10,548.31 and 4,286.37 is: 5,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.34 : 10,548.31 = 4,286.37 : x
  2. Step 2: Convert to fraction form
    7,643.34/10,548.31 = 4,286.37/x
  3. Step 3: Cross multiply
    7,643.34x = 10,548.31 × 4,286.37
  4. Step 4: Simplify right side
    7,643.34x = 45,213,959.53
  5. Step 5: Solve for x
    x = 45,213,959.53/7,643.34
  6. Step 6: Final answer
    x = 5,915.47

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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.