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Finding the Fourth Proportional to 7,643.78, 10,548.38 and 4,286.60

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Solution

The fourth proportional to 7,643.78, 10,548.38 and 4,286.60 is: 5,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.78 : 10,548.38 = 4,286.60 : x
  2. Step 2: Convert to fraction form
    7,643.78/10,548.38 = 4,286.60/x
  3. Step 3: Cross multiply
    7,643.78x = 10,548.38 × 4,286.60
  4. Step 4: Simplify right side
    7,643.78x = 45,216,685.71
  5. Step 5: Solve for x
    x = 45,216,685.71/7,643.78
  6. Step 6: Final answer
    x = 5,915.49

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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.