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Finding the Fourth Proportional to 7,432.38, 10,257.00 and 4,447.64

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Solution

The fourth proportional to 7,432.38, 10,257.00 and 4,447.64 is: 6,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.38 : 10,257.00 = 4,447.64 : x
  2. Step 2: Convert to fraction form
    7,432.38/10,257.00 = 4,447.64/x
  3. Step 3: Cross multiply
    7,432.38x = 10,257.00 × 4,447.64
  4. Step 4: Simplify right side
    7,432.38x = 45,619,369.96
  5. Step 5: Solve for x
    x = 45,619,369.96/7,432.38
  6. Step 6: Final answer
    x = 6,137.93

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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.