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Finding the Fourth Proportional to 7,432.38, 10,256.74 and 4,288.64

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Solution

The fourth proportional to 7,432.38, 10,256.74 and 4,288.64 is: 5,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.38 : 10,256.74 = 4,288.64 : x
  2. Step 2: Convert to fraction form
    7,432.38/10,256.74 = 4,288.64/x
  3. Step 3: Cross multiply
    7,432.38x = 10,256.74 × 4,288.64
  4. Step 4: Simplify right side
    7,432.38x = 43,987,465.43
  5. Step 5: Solve for x
    x = 43,987,465.43/7,432.38
  6. Step 6: Final answer
    x = 5,918.36

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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.